Wave shoaling,which involves an increase in wave amplitude due to changes in water depth,can damage shore-lines.To mitigate this damage,we propose using porous structures such as mangrove forests.In this study,we use ...Wave shoaling,which involves an increase in wave amplitude due to changes in water depth,can damage shore-lines.To mitigate this damage,we propose using porous structures such as mangrove forests.In this study,we use a mathematical model to examine how mangroves,acting as porous breakwater,can reduce wave shoaling amplitude.The shallow water equations are used as the governing equations and are modified to account for the presence of porous media.To measure the wave reduction generated by the porous media,the wave transmis-sion coefficient is estimated using analytical and numerical approaches.The separation of variables method and the staggered finite volume method are utilized for each approach,respectively.The numerical results are then validated against the previously obtained analytical solutions.We then vary the friction and porosity parame-ters-determined by the presence and extent of porous media,to evaluate their effectiveness in reducing wave shoaling.展开更多
Different environmental conditions may lead to diverse morphological,behavioral,and physiological adaptations of different populations of the same species.Lighting conditions,for example,vary vastly especially between...Different environmental conditions may lead to diverse morphological,behavioral,and physiological adaptations of different populations of the same species.Lighting conditions,for example,vary vastly especially between aquatic habitats,and have been shown to elicit adaptations.The availability of short-wave ultraviolet(UV)light is especially fluctuating,as UV wavelengths are attenuated strongly depending on water properties.The island of North Uist,Scotland,comprises 2 differential habitat types,tea-stained and clear-water lakes,varying considerably in UV transmission.In previous studies,wild-caught 3-spined stickleback Gasterosteus aculeatus populations(3 populations of each habitat type)were tested with respect to their shoaling and mate preferences for fish viewed under UV-present and UV-absent conditions.The results revealed a habitat-dependent preference of UV cues during shoal choice(tea-stained populations:preference for UV-absent condition in tea-stained water;clear-water populations:no preference in clear-water)but an overall preference for UV-present conditions during mate choice.To assess genetic influences on these behavioral patterns,similar experiments were conducted with lab-bred F1-gen-erations of the same stickleback populations that were raised in a common environment(i.e.standardized clear-water conditions).Offspring of sticklebacks from tea-stained lakes tended to prefer shoals viewed under UV-absent conditions(only in tea-stained water),while sticklebacks from clear-water lakes showed a significant preference for the shoal viewed under UV-present conditions in clear-water but not in tea-stained water.Mate-preference experiments demonstrated that females from the tea-stained lakes significantly preferred and females from the clear-water lakes preferred by trend the male viewed under UV-present conditions in the clear-water treatment.The results for both shoaling-and mate-preference tests were largely similar for wild-caught and lab-bred sticklebacks,thus hinting at a genetic basis for the preference patterns.展开更多
Shoaling behavior provides numerous fitness benefits for fish, including enhanced access to mates, increased success in foraging and protection from predators. We were interested in determining whether shoaling intens...Shoaling behavior provides numerous fitness benefits for fish, including enhanced access to mates, increased success in foraging and protection from predators. We were interested in determining whether shoaling intensity differed throughout the day. To do this we kept adult zebrafish Danio rerio in different lighting conditions for 10 days： ＂Normal＂ （12：12LD, lights on at 0800 hrs）, ＂Reverse＂ （12：12LD, lights on at 2000 hrs）, DD, or LL, and then observed the shoaling behavior at different times during the day. Our findings suggest that daily variations exist in shoaling behavior, with mean shoaling times for fish from the ＇normal＇ group being the lowest at the mid-point of the dark phase in the fish＇s subjective day （00：00 hrs）, then rising signifi- cantly throughout the day, reaching their highest intensity at 20：00 hrs （lights out）. Fish from the ＂reverse＂ LD cycle （lights on at 20：00 hrs） showed differences in the mean shoaling times at different times of day, but did not show a gradual increase in shoaling throughout their subjective day. Fish from the DD and LL groups did not show significant differences in the mean shoaling values at different times of day, suggesting that the differences observed in LD fish may not represent circadian rhythms. Therefore, these results demonstrate the existence of daily variations in the shoaling behavior of fish and suggest that environmental cues in the form of light/dark cycles play an important role in regulating these variations [Current Zoology 58 （1）： 129-137, 2012].展开更多
Shoaling intensity in zebrafish Danio rerio is believed to vary throughout subjective day and night hours. This experiment examines long term variations in shoaling behavior. Adult zebrafish Dan io rerio were maintain...Shoaling intensity in zebrafish Danio rerio is believed to vary throughout subjective day and night hours. This experiment examines long term variations in shoaling behavior. Adult zebrafish Dan io rerio were maintained under a 12：12 LD cycle （with dim red light serving as reduced visibility during subjective dark hours）, and their shoaling behavior was monitored every hour for a three-day period of time. Our results show that zebrafish perform shoaling behavior throughout subjective day and under reduced visibility conditions, although mean shoaling times during the light phase were significantly higher than mean shoaling times during the dark phase. However, on the 3^rd day of the experiment, mean shoaling times during the subjective night had increased and mean shoaling times during the subjective day had decreased. This shift in intensity was not seen on the first two days of the study, and may represent the influence of experience on the behavior of the test fish. We believe this study shows that shoaling behavior changes with light/dark cycles and that fish shoal even during reduced visibility conditions.展开更多
Observations and numeric modeling of internal wave generation and transformation in the shelf zone of sea show that the main part of tidal energy is transported to shores in form of internal gravitational waves. Long-...Observations and numeric modeling of internal wave generation and transformation in the shelf zone of sea show that the main part of tidal energy is transported to shores in form of internal gravitational waves. Long-term measurements of temperature and current velocity fluctuations at many levels in the near-bottom thermocline were carried out during the periods when stable seasonal thermocline was present. Analysis of the measurements permits us to understand mechanisms of internal wave destruction with turbulent motion generation and corresponding rebuilding of velocity and density mean fields in the stratified near-bottom layer. Spectral analysis of temperature fluctuations shows that in shoaling internal waves the low-frequency maxima disappear, maxima at higher frequencies appear, and the spectra slope in the high frequency range changes with depth. Taking into account the concurrent analysis of near-bottom pressure fluctuations and current velocity fluctuations from surface till bottom we come to the conclusion that breaking internal waves in a near-bottom thermocline generate not only small-scale three-dimensional turbulence, but also quasi-horizontal turbulence of larger scales, which considerably contributes into mixing and sediments, alluvium, and nutrients transport in the shelf zone of sea.展开更多
A large eddy simulation(LES)is conducted to investigate the distribution of turbulence kinetic energy(TKE)under a plunging solitary wave over a 1:15 slope.This study provides a novel contribution to the field by exami...A large eddy simulation(LES)is conducted to investigate the distribution of turbulence kinetic energy(TKE)under a plunging solitary wave over a 1:15 slope.This study provides a novel contribution to the field by examining the roles of resolved and sub-grid scale TKE in plunging solitary waves at the different stages of wave breaking.Furthermore,comparing the performances of two sub-grid scale(SGS)models in simulating the distribution of TKE was carried out to identify their performances.The separate investigation of these components in the context of wave breaking and recognizing the importance of an appropriate sub-grid scale model to consider the effects of small-scale eddies provide a significant advancement in understanding coastal morphological changes and nearshore sediment transport.Both the zero-equation and one-equation SGS models demonstrated acceptable performance in simulating water surface and kinematic properties.The one-equation SGS model,however,provided more accurate results on TKE transport during the breaking process and as the wave approaches its collapsing point.The study’s results reveal that an SGS model’s inability to simulate TKE transport(such as in the zero equation model)leads to inaccurate simulations of the TKE level and breaking location in the breaking zone.Additionally,the results of the one-equation model demonstrated that the maximum horizontal fluid velocity around the wavefront surface is a better predictor of breaking wave onset than the horizontal fluid velocity at the wave crest.展开更多
Shoaling is a common type of sedimentation in the evolution of carbonate platform,and commonly has poor continuity.This paper presents a newly discovered and rare type of shoaling,i.e.,mega-shoaling in nearly basin sc...Shoaling is a common type of sedimentation in the evolution of carbonate platform,and commonly has poor continuity.This paper presents a newly discovered and rare type of shoaling,i.e.,mega-shoaling in nearly basin scale,which is developed in the Middle Triassic Leikoupo Formation of the Sichuan Basin,southwest China.During the Leikoupo time,the studied Sichuan Basin experienced hot and dry climate conditions and developed a carbonate platform within a restricted epicontinental sea.In B sub-layer of the Lei-1-1 sub-member of the Leikoupo Formation a series of grainstones of shoal facies accumulated throughout almost the entire basin,thereby generating features associated with basin-scale mega-shoaling.By detailed core examination and microscopic observation of thin sections,it is shown that the lithology of this set of grainstones is dominated by doloarenite(calcarenite)followed by oolitic dolomite(limestone).In addition,it contains three types of sedimentary sequences characterized by upward-coarsening and upward-shallowing as the followings:restricted lagoon to platform interior beach;restricted lagoon to platform interior beach and to platform flat;and tidal flat to peritidal beach.Subsequently,a multicyclic stratigraphic division and correlation revealed that this set of grainstones can be well traced and compared horizontally,and is generally isochronous.In addition,a template for logging facies,established based on core calibrations and logging data,was employed to analyze the 235 wells in the basin.The results demonstrate the shoal grainstones to be 10–40 m thick with a15×104km2continuous distribution area.These findings indicate that the carbonate platform developed mega-shoals within a short period of time.The genesis of such a mega-shoaling was investigated by focusing on various shoaling conditions,such as paleo-tectonics,paleo-geomorphology,paleo-climate,sea-level changes,and palaeo-hydrodynamics.A specific combination of independent geological factors creates beneficial geomorphologic conditions for the mega-shoaling including a quiescent paleo-tectonic environment,relatively flat paleo-geomorphology and evaporites filling up and leveling off.In addition,a stably settling carbonate platform underwent sea-level fluctuations through swift transgressions and protracted regressions,which is not only conducive to continuous,multicyclic and superimposed vertical development of grain beaches but also beneficial for the horizontal migration,coalescence and superimposition of individual grain beaches.As a consequence,large-scale and continuously-distributed grain beach sedimentation emerges and mega-shoals develop.展开更多
In this present study,a numerical method is proposed for solving the wave shoaling differential equations with turbulent and laminar boundary layers by using the meshless method based on the radial basis function.The ...In this present study,a numerical method is proposed for solving the wave shoaling differential equations with turbulent and laminar boundary layers by using the meshless method based on the radial basis function.The numerical solutions are compared with those of the finite difference method to see the accuracy,the validity and the applicability of the methodology developed in this paper.The meshless method by using the radial basis function can effectively improve the computational efficiency.The findings in this paper provide a significant support for the study of wave shoaling problems.展开更多
Nitric oxide(NO)-the product of arginine metabolism catalyzed by nitric oxide synthases(NOS)-is a well-known neurotransmitter which plays an important role in metabolism and amino acid transportation in the nervous sy...Nitric oxide(NO)-the product of arginine metabolism catalyzed by nitric oxide synthases(NOS)-is a well-known neurotransmitter which plays an important role in metabolism and amino acid transportation in the nervous system.In particular,it can inhibit monoamine neurotransmitter transportation which affects animal behavior,especially social behavior.Shoaling-is a one kind of social behavior.It is a behavior that individual fish choose to join with their group within two factors;food and predation risk.Shoaling fish has quickly responded to predator and increased the change in feeding competition.In addition,shoaling also effect to stress response on stock density of aquaculture system.The effect of NO molecular signaling on the dopamine pathway was investigated using zebrafish(Danio rerio)as a model organism.Our aim was to understand the role of NOS and NO in shoaling behavior,which is typical of zebrafish.The concentration of NO in the zebrafish brain was modulated using a knockout for the neuronal NOS gene,and NO production was induced through treatment with L-arginine.The existence of NO in the zebrafish brain was confirmed by using a fluorescent probe.Dopamine concentration in the brain was measured by UPLC tandem mass spectrometer.We measured shoaling cohesion of all individual fish of D.rerio,using average distance between all pairs of fish(nearest neighbor distance)and analyzed tracking by Zebralab ViewPoint software.Collectively,our results suggest that a lower level of NO was associated with a higher level of dopamine,which in turn leads to the shoaling behavior.展开更多
This paper discusses the characteristics and formation mechanism of thin dolomite reservoirs in the lower submember of the second member of the Permian Maokou Formation(lower Mao 2 Member)in the Wusheng-Tongnan area o...This paper discusses the characteristics and formation mechanism of thin dolomite reservoirs in the lower submember of the second member of the Permian Maokou Formation(lower Mao 2 Member)in the Wusheng-Tongnan area of the Sichuan Basin,SW China,through comprehensive analysis of geological,geophysical and geochemical data.The reservoir rocks of the lower Mao 2 Member are dominated by porphyritic vuggy dolomite and calcareous dolomite or dolomitic limestone,which have typical karst characteristics of early diagenetic stage.The dolomites at the edge of the karst system and in the fillings have dissolved estuaries,and the dolomite breccia has micrite envelope and rim cement at the edge,indicating that dolomitization is earlier than the early diagenetic karstification.The shoal facies laminated dolomite is primarily formed by the seepage reflux dolomitization of moderate-salinity seawater.The key factors of reservoir formation are the bioclastic shoal deposition superimposed with seepgae reflux dolomitization and the karstification of early diagenetic stage,which are locally reformed by fractures and hydrothermal processes.The development of dolomite vuggy reservoir is closely related to the upward-shallowing sequence,and mainly occurs in the late highstand of the fourth-order cycle.Moreover,the size of dolomite is closely related to formation thickness,and it is concentrated in the formation thickness conversion area,followed by the thinner area.According to the understanding of insufficient accommodation space in the geomorphic highland and the migration of granular shoal to geomorphic lowland in the late highstand of the third-order cycle,it is proposed that the large-scale shoal-controlled dolomite reservoirs are distributed along structural highs and slopes,and the reservoir-forming model with shoal,dolomitization and karstification jointly controlled by the microgeomorphy and sea-level fluctuation in the sedimentary period is established.On this basis,the paleogeomorphology in the lower Mao 2 Member is restored using well-seismic data,and the reservoir distribution is predicted.The prediction results have been verified by the latest results of exploration wells and tests,which provide an important reference for the prediction of thin dolomite reservoirs under similar geological setting.展开更多
The Changxing Formation of the Upper Permian in the Sichuan Basin remains a focal area for natural gas exploration.Previous research on this formation has predominantly focused on platform-margin reefs in northeastern...The Changxing Formation of the Upper Permian in the Sichuan Basin remains a focal area for natural gas exploration.Previous research on this formation has predominantly focused on platform-margin reefs in northeastern Sichuan Basin,while reservoirs within the platform have received limited attention.This study addresses this gap by systematically analyzing bioclastic shoal reservoirs in the Zhongjiang-Moxi region of central Sichuan Basin,using integrated methods including core observations,petrographic analysis,well log interpretation,and 3D seismic data.Results reveal that the study area primarily hosts porous bioclastic limestone reservoirs,characterized by storage spaces dominated by intragranular and interparticle dissolution pores.These reservoirs exhibit distinct facies-controlled attributes.Key controlling factors include:(1)syn-to penecontemporaneous karstification,(2)sea-level fluctuations governing reservoir thickness and stacking patterns,(3)micro-paleogeomorphic variations influencing early exposure dissolution,and(4)dolomitization enhancing reservoir quality.Based on these findings,two depositional evolution models for intraplatform reservoirs of the Changxing Formation are proposed.展开更多
The high-frequency cycles seen in the carbonates of the Cambrian Xiannüdong Formation in the Sichuan Basin commonly exhibit a certain coupling relationship with the development of grain shoals;this influences the...The high-frequency cycles seen in the carbonates of the Cambrian Xiannüdong Formation in the Sichuan Basin commonly exhibit a certain coupling relationship with the development of grain shoals;this influences the accuracy of reservoir predictions and the selection of favorable zones for hydrocarbon.MATLAB-based wavelet transform technology is employed to analyze the characteristics of the high-frequency sequences in the Xiannüdong Formation,establish a sequence stratigraphic framework,and clarify their vertical and horizontal relationships with the development of grain shoals.The results indicate that using the Dmey wavelet for continuous wavelet transform of gamma ray(GR)curves effectively reflects regional sedimentary cycles.In the Xiannüdong Formation,we identified two third-order sequences,five fourth-order sequences,and ten fifth-order sequences,all of which exhibit a strong correlation with the one-dimensional wavelet curves derived from wavelet transformations.In the sequence stratigraphic framework,early deposition of the Xiannüdong Formation briefly inherited transgressive processes from the Qiongzhusi Formation,and subsequently underwent a long and frequently fluctuating regressive phase.This study elucidates the development characteristics of grain shoals during marine regressions,and identifies lithology primarily as oolitic limestone,oolitic dolostone,doloarenite,silty oolitic limestone,and silty oolitic dolostone.Longitudinally,grain shoals are primarily distributed in the SQ1^(2),SQ2^(1),and SQ2^(2)intervals,and are characterized by the interbedded development of thin and thick layers.They form predominantly during the regressive phase of fourth-order sequences.Planarly,they exhibit a belt-like distribution in the southwest-northeast direction.These findings provide novel insights for conducting high-frequency sequence stratigraphy studies utilizing logging data.They also possess practical implications for constructing high-precision sequence stratigraphic frameworks as well as for predicting the distribution of grain shoals within the study area.展开更多
The well deployment in the Ordovician Yingshan Formation in the Gucheng area of the Tarim Basin mainly focuses on the inner gentle slope in the western part of the study area,which results in a low drilling success ra...The well deployment in the Ordovician Yingshan Formation in the Gucheng area of the Tarim Basin mainly focuses on the inner gentle slope in the western part of the study area,which results in a low drilling success rate.To address this issue,this study focused on reconstructing sedimentary models and the adjustment strategies for oil and gas exploration.The carbonate sedimentary model of the Yingshan Formation was re-evaluated using the data of seismic interpretation,core observations,thin-section analyses,carbon isotopic composition,well logging,detrital zircon U-Pb dating,and carbonate mineral U-Pb dating.Then,the favorable sedimentary facies belts were delineated,and updated prospective exploration targets were proposed.The results demonstrate that the sedimentary model of the Yingshan Formation in the Gucheng area is characterized as a rimmed platform system,exhibiting an orderly west-to-east sedimentary sequence transition from restricted/open platform environments through the platform margin and slope settings,ultimately grading into basinal deposits.The platform margin,distinguished by thick successions of grain shoals overlain by interlayered karst zones,is the most favorable distribution area for large-scale reservoirs.Guided by this revised sedimentary model,Well Gutan-1 was successfully drilled within the outer platform margin,encountering over 90%high-energy grain shoal facies with well-developed porous and fractured-vuggy reservoirs,and achieving industrial oil and gas flow.It is confirmed that the platform margin is the priority area for oil and gas exploration in the Ordovician System of the Gucheng area,thereby effectively ending the prolonged exploration stagnation in the Yingshan Formation of the Gucheng area.展开更多
This study reconstructed the paleo-uplift and depression pattern within the sequence stratigraphic framework of the Mid-Permian Maokou Formation,Sichuan Basin,investigated its tectono-sedimentary mechanisms and its co...This study reconstructed the paleo-uplift and depression pattern within the sequence stratigraphic framework of the Mid-Permian Maokou Formation,Sichuan Basin,investigated its tectono-sedimentary mechanisms and its control on paleogeomorphology and large-sale shoals based on analysis of outcrops,loggings and seismic data.The results show that the Maokou Formation comprises two third-order sequences,six fourth-order sequences(SSQ1-SSQ6),and four distinct slope-break zones developing progressively from north to south.Slope-break zones I-III in the northern basin,controlled by synsedimentary extensional faults,exhibited a NE-trending linear distribution with gradual southeastward migration.In contrast,slope-break zone IV in the southern basin displayed an arcuate distribution along the Emeishan Large Igneous Province(ELIP).The evolutions of these multistage slope-break zones governed the Mid-Permian paleogeomorphy in the Sichuan Basin transformations from a giant,north-dipping gentle slope(higher in the southwest than in the northeast)in the early-stage(SSQ1-SSQ2)to a platform(south)-basin(north)pattern in the middle-stage(SSQ3-SSQ5).Ultimately,a further depression zone developed in the southwestern basin during the late-stage(SSQ6),forming a paleo-uplift bounded by two depressions.The developments of the Mid-Permian paleogeomorphic configuration reflected the combined control by the rapid subduction of the Mianlüe Ocean and the episodic eruptions of the Emeishan mantle plume(or hot spots),which jointly facilitated the formation of extensive high-energy shoal facies belts along slope-break zones and around paleo-volcanic uplifts.展开更多
This invited review is based upon a recent oral paper I presented at the Virtual Reality Symposiumof the 34th International Ethological Conference （2015, Cairns, Australia）, and as such it describesstudies conducted...This invited review is based upon a recent oral paper I presented at the Virtual Reality Symposiumof the 34th International Ethological Conference （2015, Cairns, Australia）, and as such it describesstudies conducted mainly in my own laboratory. It reviews how we utilized visual stimuli for induc-ing behavioral responses in the zebrafish with a focus on shoaling, group forming behavior. Thezebrafish is gaining increasing popularity in neuroscience. With this interest, its behavior is alsomore frequently studied. One of the many advantages of the zebrafish over traditional laboratoryrodents is that this species is diurnal, and it relies heavily upon its visual system. Thus, similarly toour own species, zebrafish respond to visual stimuli in a robust and easily quantifiable manner. Forthe past decade, we have been exploring how to use such visual stimuli, and have developed nu-merous paradigms with which we can induce and quantify a variety of behavioral responses,including shoaling. This review summarizes some of these studies, and discusses questions includ-ing whether one should use live fish as stimulus, whether and how one could present animated（moving images） of fish, and how one could optimize a range of stimulus presentation parametersto elicit the most robust responses in zebrafish. Although the zebrafish is a relative newcomer inethology and behavioral neuroscience, and although many of our findings only represent the firststeps in this research, our results suggest that the behavioral analysis of the zebrafish will have animportant place in biomedical research.展开更多
A new approach to high-order Boussinesq-type equations with ambient currents is presented. The current velocity is assumed to be uniform over depth and of the same magnitude as the shallow water wave celerity. The wav...A new approach to high-order Boussinesq-type equations with ambient currents is presented. The current velocity is assumed to be uniform over depth and of the same magnitude as the shallow water wave celerity. The wave velocity field is expressed in terms of the horizontal and vertical wave velocity components at an arbitrary water depth level. Linear operators are introduced to improve the accuracy of the kinematic condition at the sea bottom. The dynamic and kinematic conditions at the free surface are expressed in terms of wave velocity variables defined directly on the free surface. The new equations provide high accuracy of linear properties as well as nonlinear properties from shallow to deep water, and extend the applicable range of relative water depth in the case of opposing currents.展开更多
Long-period waves pose a threat to coastal communities as they propagate from deep ocean to shallow coastal waters. At the coastline, such waves have a greater height and longer period in comparison with local storm w...Long-period waves pose a threat to coastal communities as they propagate from deep ocean to shallow coastal waters. At the coastline, such waves have a greater height and longer period in comparison with local storm waves, and can cause severe inundation and damage. In this study,we considered linear long waves in a two-dimensional(vertical-horizontal) domain propagating towards a shoreline over a shallowing shelf.New solutions to the linear shallow water equations were found, through the separation of variables, for two forms of transition shelf morphology: deep water and shallow coastal water horizontal shelves connected by linear and parabolic transition, respectively. Expressions for the transmission and reflection coefficients are presented for each case. The analytical solutions were used to test the results from a novel computational scheme, which was then applied to extending the existing results relating to the reflected and transmitted components of an incident wave. The solutions and computational package provide new tools for coastal managers to formulate improved defence and riskmitigation strategies.展开更多
The coefficients embodied in a Boussinesq-type model are very important since they are determined to optimize the linear and nonlinear properties.In most conventional Boussinesq-type models,these coefficients are assi...The coefficients embodied in a Boussinesq-type model are very important since they are determined to optimize the linear and nonlinear properties.In most conventional Boussinesq-type models,these coefficients are assigned the specific values.As for the multi-layer Boussinesq-type models with the inclusion of the vertical velocity,however,the effect of the different values of these coefficients on linear and nonlinear performances has never been investigated yet.The present study focuses on a two-layer Boussinesq-type model with the highest spatial derivatives being 2 and theoretically and numerically examines the effect of the coefficient on model performance.Theoretical analysis show that different values for(0.13≤α≤0.25)do not have great effects on the high accuracy of the linear shoaling,linear phase celerity and even third-order nonlinearity for water depth range of 0<kh≤10(k is wave number and h is water depth).The corresponding errors using different values are restricted within 0.1%,0.1%and 1%for the linear shoaling amplitude,dispersion and nonlinear harmonics,respectively.Numerical tests including regular wave shoaling over mildly varying slope from deep to shallow water,regular wave propagation over submerged bar,bichromatic wave group and focusing wave propagation over deep water are conducted.The comparison between numerical results using different values of,experimental data and analytical solutions confirm the theoretical analysis.The flexibility and consistency of the two-layer Boussinesq-type model is therefore demonstrated theoretically and numerically.展开更多
基金support from Program Riset Kolaborasi Indonesia(RKI)2024(Grant No.1841/IT1.B07.1/TA.00/2024).
文摘Wave shoaling,which involves an increase in wave amplitude due to changes in water depth,can damage shore-lines.To mitigate this damage,we propose using porous structures such as mangrove forests.In this study,we use a mathematical model to examine how mangroves,acting as porous breakwater,can reduce wave shoaling amplitude.The shallow water equations are used as the governing equations and are modified to account for the presence of porous media.To measure the wave reduction generated by the porous media,the wave transmis-sion coefficient is estimated using analytical and numerical approaches.The separation of variables method and the staggered finite volume method are utilized for each approach,respectively.The numerical results are then validated against the previously obtained analytical solutions.We then vary the friction and porosity parame-ters-determined by the presence and extent of porous media,to evaluate their effectiveness in reducing wave shoaling.
基金This research was funded by the Deutsche Forschungsgemeinschaft(DFG)(BA 2885/1-5).
文摘Different environmental conditions may lead to diverse morphological,behavioral,and physiological adaptations of different populations of the same species.Lighting conditions,for example,vary vastly especially between aquatic habitats,and have been shown to elicit adaptations.The availability of short-wave ultraviolet(UV)light is especially fluctuating,as UV wavelengths are attenuated strongly depending on water properties.The island of North Uist,Scotland,comprises 2 differential habitat types,tea-stained and clear-water lakes,varying considerably in UV transmission.In previous studies,wild-caught 3-spined stickleback Gasterosteus aculeatus populations(3 populations of each habitat type)were tested with respect to their shoaling and mate preferences for fish viewed under UV-present and UV-absent conditions.The results revealed a habitat-dependent preference of UV cues during shoal choice(tea-stained populations:preference for UV-absent condition in tea-stained water;clear-water populations:no preference in clear-water)but an overall preference for UV-present conditions during mate choice.To assess genetic influences on these behavioral patterns,similar experiments were conducted with lab-bred F1-gen-erations of the same stickleback populations that were raised in a common environment(i.e.standardized clear-water conditions).Offspring of sticklebacks from tea-stained lakes tended to prefer shoals viewed under UV-absent conditions(only in tea-stained water),while sticklebacks from clear-water lakes showed a significant preference for the shoal viewed under UV-present conditions in clear-water but not in tea-stained water.Mate-preference experiments demonstrated that females from the tea-stained lakes significantly preferred and females from the clear-water lakes preferred by trend the male viewed under UV-present conditions in the clear-water treatment.The results for both shoaling-and mate-preference tests were largely similar for wild-caught and lab-bred sticklebacks,thus hinting at a genetic basis for the preference patterns.
文摘Shoaling behavior provides numerous fitness benefits for fish, including enhanced access to mates, increased success in foraging and protection from predators. We were interested in determining whether shoaling intensity differed throughout the day. To do this we kept adult zebrafish Danio rerio in different lighting conditions for 10 days： ＂Normal＂ （12：12LD, lights on at 0800 hrs）, ＂Reverse＂ （12：12LD, lights on at 2000 hrs）, DD, or LL, and then observed the shoaling behavior at different times during the day. Our findings suggest that daily variations exist in shoaling behavior, with mean shoaling times for fish from the ＇normal＇ group being the lowest at the mid-point of the dark phase in the fish＇s subjective day （00：00 hrs）, then rising signifi- cantly throughout the day, reaching their highest intensity at 20：00 hrs （lights out）. Fish from the ＂reverse＂ LD cycle （lights on at 20：00 hrs） showed differences in the mean shoaling times at different times of day, but did not show a gradual increase in shoaling throughout their subjective day. Fish from the DD and LL groups did not show significant differences in the mean shoaling values at different times of day, suggesting that the differences observed in LD fish may not represent circadian rhythms. Therefore, these results demonstrate the existence of daily variations in the shoaling behavior of fish and suggest that environmental cues in the form of light/dark cycles play an important role in regulating these variations [Current Zoology 58 （1）： 129-137, 2012].
文摘Shoaling intensity in zebrafish Danio rerio is believed to vary throughout subjective day and night hours. This experiment examines long term variations in shoaling behavior. Adult zebrafish Dan io rerio were maintained under a 12：12 LD cycle （with dim red light serving as reduced visibility during subjective dark hours）, and their shoaling behavior was monitored every hour for a three-day period of time. Our results show that zebrafish perform shoaling behavior throughout subjective day and under reduced visibility conditions, although mean shoaling times during the light phase were significantly higher than mean shoaling times during the dark phase. However, on the 3^rd day of the experiment, mean shoaling times during the subjective night had increased and mean shoaling times during the subjective day had decreased. This shift in intensity was not seen on the first two days of the study, and may represent the influence of experience on the behavior of the test fish. We believe this study shows that shoaling behavior changes with light/dark cycles and that fish shoal even during reduced visibility conditions.
文摘Observations and numeric modeling of internal wave generation and transformation in the shelf zone of sea show that the main part of tidal energy is transported to shores in form of internal gravitational waves. Long-term measurements of temperature and current velocity fluctuations at many levels in the near-bottom thermocline were carried out during the periods when stable seasonal thermocline was present. Analysis of the measurements permits us to understand mechanisms of internal wave destruction with turbulent motion generation and corresponding rebuilding of velocity and density mean fields in the stratified near-bottom layer. Spectral analysis of temperature fluctuations shows that in shoaling internal waves the low-frequency maxima disappear, maxima at higher frequencies appear, and the spectra slope in the high frequency range changes with depth. Taking into account the concurrent analysis of near-bottom pressure fluctuations and current velocity fluctuations from surface till bottom we come to the conclusion that breaking internal waves in a near-bottom thermocline generate not only small-scale three-dimensional turbulence, but also quasi-horizontal turbulence of larger scales, which considerably contributes into mixing and sediments, alluvium, and nutrients transport in the shelf zone of sea.
基金funding support from the Research Institute for Sustainable Urban Development at the Hong Kong Polytechnic University(project numbers 1-BD86 and 1-BBWT).
文摘A large eddy simulation(LES)is conducted to investigate the distribution of turbulence kinetic energy(TKE)under a plunging solitary wave over a 1:15 slope.This study provides a novel contribution to the field by examining the roles of resolved and sub-grid scale TKE in plunging solitary waves at the different stages of wave breaking.Furthermore,comparing the performances of two sub-grid scale(SGS)models in simulating the distribution of TKE was carried out to identify their performances.The separate investigation of these components in the context of wave breaking and recognizing the importance of an appropriate sub-grid scale model to consider the effects of small-scale eddies provide a significant advancement in understanding coastal morphological changes and nearshore sediment transport.Both the zero-equation and one-equation SGS models demonstrated acceptable performance in simulating water surface and kinematic properties.The one-equation SGS model,however,provided more accurate results on TKE transport during the breaking process and as the wave approaches its collapsing point.The study’s results reveal that an SGS model’s inability to simulate TKE transport(such as in the zero equation model)leads to inaccurate simulations of the TKE level and breaking location in the breaking zone.Additionally,the results of the one-equation model demonstrated that the maximum horizontal fluid velocity around the wavefront surface is a better predictor of breaking wave onset than the horizontal fluid velocity at the wave crest.
基金supported by National Basic Research Program of China(Grant No.2012CB214803)PetroChina Scientific Innovative Foundation(Grant No.2011D-5006-0105)Key Subject Construction Project of Sichuan Province,China(Grant No.SZD0414)
文摘Shoaling is a common type of sedimentation in the evolution of carbonate platform,and commonly has poor continuity.This paper presents a newly discovered and rare type of shoaling,i.e.,mega-shoaling in nearly basin scale,which is developed in the Middle Triassic Leikoupo Formation of the Sichuan Basin,southwest China.During the Leikoupo time,the studied Sichuan Basin experienced hot and dry climate conditions and developed a carbonate platform within a restricted epicontinental sea.In B sub-layer of the Lei-1-1 sub-member of the Leikoupo Formation a series of grainstones of shoal facies accumulated throughout almost the entire basin,thereby generating features associated with basin-scale mega-shoaling.By detailed core examination and microscopic observation of thin sections,it is shown that the lithology of this set of grainstones is dominated by doloarenite(calcarenite)followed by oolitic dolomite(limestone).In addition,it contains three types of sedimentary sequences characterized by upward-coarsening and upward-shallowing as the followings:restricted lagoon to platform interior beach;restricted lagoon to platform interior beach and to platform flat;and tidal flat to peritidal beach.Subsequently,a multicyclic stratigraphic division and correlation revealed that this set of grainstones can be well traced and compared horizontally,and is generally isochronous.In addition,a template for logging facies,established based on core calibrations and logging data,was employed to analyze the 235 wells in the basin.The results demonstrate the shoal grainstones to be 10–40 m thick with a15×104km2continuous distribution area.These findings indicate that the carbonate platform developed mega-shoals within a short period of time.The genesis of such a mega-shoaling was investigated by focusing on various shoaling conditions,such as paleo-tectonics,paleo-geomorphology,paleo-climate,sea-level changes,and palaeo-hydrodynamics.A specific combination of independent geological factors creates beneficial geomorphologic conditions for the mega-shoaling including a quiescent paleo-tectonic environment,relatively flat paleo-geomorphology and evaporites filling up and leveling off.In addition,a stably settling carbonate platform underwent sea-level fluctuations through swift transgressions and protracted regressions,which is not only conducive to continuous,multicyclic and superimposed vertical development of grain beaches but also beneficial for the horizontal migration,coalescence and superimposition of individual grain beaches.As a consequence,large-scale and continuously-distributed grain beach sedimentation emerges and mega-shoals develop.
基金the National Key Research and Development Program of China (Grant No.2016YFC0802204)the National Natural Science Foundation of China (Grant No.51679166)the National Natural Science Fund for Innovative Research Groups Science Foundation (Grant No.51321065).
文摘In this present study,a numerical method is proposed for solving the wave shoaling differential equations with turbulent and laminar boundary layers by using the meshless method based on the radial basis function.The numerical solutions are compared with those of the finite difference method to see the accuracy,the validity and the applicability of the methodology developed in this paper.The meshless method by using the radial basis function can effectively improve the computational efficiency.The findings in this paper provide a significant support for the study of wave shoaling problems.
基金This work was supported funding by The China-ASEAN Maritime Cooperation Fund through the project“China-ASEAN Center for Joint Research and Promotion of Marine Aquaculture Technology”(grant number:DF)the Key Laboratory of Exploration and Utilization of Aquatic Genetic Resources of Shanghai Ocean University(grant number:31872546 and 31472262)。
文摘Nitric oxide(NO)-the product of arginine metabolism catalyzed by nitric oxide synthases(NOS)-is a well-known neurotransmitter which plays an important role in metabolism and amino acid transportation in the nervous system.In particular,it can inhibit monoamine neurotransmitter transportation which affects animal behavior,especially social behavior.Shoaling-is a one kind of social behavior.It is a behavior that individual fish choose to join with their group within two factors;food and predation risk.Shoaling fish has quickly responded to predator and increased the change in feeding competition.In addition,shoaling also effect to stress response on stock density of aquaculture system.The effect of NO molecular signaling on the dopamine pathway was investigated using zebrafish(Danio rerio)as a model organism.Our aim was to understand the role of NOS and NO in shoaling behavior,which is typical of zebrafish.The concentration of NO in the zebrafish brain was modulated using a knockout for the neuronal NOS gene,and NO production was induced through treatment with L-arginine.The existence of NO in the zebrafish brain was confirmed by using a fluorescent probe.Dopamine concentration in the brain was measured by UPLC tandem mass spectrometer.We measured shoaling cohesion of all individual fish of D.rerio,using average distance between all pairs of fish(nearest neighbor distance)and analyzed tracking by Zebralab ViewPoint software.Collectively,our results suggest that a lower level of NO was associated with a higher level of dopamine,which in turn leads to the shoaling behavior.
基金Supported by the National Natural Science Foundation of China(42172166)National Natural Science Foundation and CNPC Joint Fund Project(U23B20154)CNPC-Southwest Petroleum University Science and Technology Cooperation Project(2020CX010000).
文摘This paper discusses the characteristics and formation mechanism of thin dolomite reservoirs in the lower submember of the second member of the Permian Maokou Formation(lower Mao 2 Member)in the Wusheng-Tongnan area of the Sichuan Basin,SW China,through comprehensive analysis of geological,geophysical and geochemical data.The reservoir rocks of the lower Mao 2 Member are dominated by porphyritic vuggy dolomite and calcareous dolomite or dolomitic limestone,which have typical karst characteristics of early diagenetic stage.The dolomites at the edge of the karst system and in the fillings have dissolved estuaries,and the dolomite breccia has micrite envelope and rim cement at the edge,indicating that dolomitization is earlier than the early diagenetic karstification.The shoal facies laminated dolomite is primarily formed by the seepage reflux dolomitization of moderate-salinity seawater.The key factors of reservoir formation are the bioclastic shoal deposition superimposed with seepgae reflux dolomitization and the karstification of early diagenetic stage,which are locally reformed by fractures and hydrothermal processes.The development of dolomite vuggy reservoir is closely related to the upward-shallowing sequence,and mainly occurs in the late highstand of the fourth-order cycle.Moreover,the size of dolomite is closely related to formation thickness,and it is concentrated in the formation thickness conversion area,followed by the thinner area.According to the understanding of insufficient accommodation space in the geomorphic highland and the migration of granular shoal to geomorphic lowland in the late highstand of the third-order cycle,it is proposed that the large-scale shoal-controlled dolomite reservoirs are distributed along structural highs and slopes,and the reservoir-forming model with shoal,dolomitization and karstification jointly controlled by the microgeomorphy and sea-level fluctuation in the sedimentary period is established.On this basis,the paleogeomorphology in the lower Mao 2 Member is restored using well-seismic data,and the reservoir distribution is predicted.The prediction results have been verified by the latest results of exploration wells and tests,which provide an important reference for the prediction of thin dolomite reservoirs under similar geological setting.
基金supported by the Innovation Consortium Science and Technology Cooperation Project jointly conducted by PetroChina and Southwest Petroleum University(No.2020CX010000).
文摘The Changxing Formation of the Upper Permian in the Sichuan Basin remains a focal area for natural gas exploration.Previous research on this formation has predominantly focused on platform-margin reefs in northeastern Sichuan Basin,while reservoirs within the platform have received limited attention.This study addresses this gap by systematically analyzing bioclastic shoal reservoirs in the Zhongjiang-Moxi region of central Sichuan Basin,using integrated methods including core observations,petrographic analysis,well log interpretation,and 3D seismic data.Results reveal that the study area primarily hosts porous bioclastic limestone reservoirs,characterized by storage spaces dominated by intragranular and interparticle dissolution pores.These reservoirs exhibit distinct facies-controlled attributes.Key controlling factors include:(1)syn-to penecontemporaneous karstification,(2)sea-level fluctuations governing reservoir thickness and stacking patterns,(3)micro-paleogeomorphic variations influencing early exposure dissolution,and(4)dolomitization enhancing reservoir quality.Based on these findings,two depositional evolution models for intraplatform reservoirs of the Changxing Formation are proposed.
基金financially supported by National Natural Science Foundation Project of China(U22B6002)Prospective Basic Technology Research Project of PetroChina(2021DJ0605)Major Science and Technology Project of PetroChina(No.2023ZZ02).
文摘The high-frequency cycles seen in the carbonates of the Cambrian Xiannüdong Formation in the Sichuan Basin commonly exhibit a certain coupling relationship with the development of grain shoals;this influences the accuracy of reservoir predictions and the selection of favorable zones for hydrocarbon.MATLAB-based wavelet transform technology is employed to analyze the characteristics of the high-frequency sequences in the Xiannüdong Formation,establish a sequence stratigraphic framework,and clarify their vertical and horizontal relationships with the development of grain shoals.The results indicate that using the Dmey wavelet for continuous wavelet transform of gamma ray(GR)curves effectively reflects regional sedimentary cycles.In the Xiannüdong Formation,we identified two third-order sequences,five fourth-order sequences,and ten fifth-order sequences,all of which exhibit a strong correlation with the one-dimensional wavelet curves derived from wavelet transformations.In the sequence stratigraphic framework,early deposition of the Xiannüdong Formation briefly inherited transgressive processes from the Qiongzhusi Formation,and subsequently underwent a long and frequently fluctuating regressive phase.This study elucidates the development characteristics of grain shoals during marine regressions,and identifies lithology primarily as oolitic limestone,oolitic dolostone,doloarenite,silty oolitic limestone,and silty oolitic dolostone.Longitudinally,grain shoals are primarily distributed in the SQ1^(2),SQ2^(1),and SQ2^(2)intervals,and are characterized by the interbedded development of thin and thick layers.They form predominantly during the regressive phase of fourth-order sequences.Planarly,they exhibit a belt-like distribution in the southwest-northeast direction.These findings provide novel insights for conducting high-frequency sequence stratigraphy studies utilizing logging data.They also possess practical implications for constructing high-precision sequence stratigraphic frameworks as well as for predicting the distribution of grain shoals within the study area.
基金Supported by the National Natural Science Foundation of China General Program(42272181)CNPC-Southwest Petroleum University Innovation Consortium Program(2020CX010301).
文摘The well deployment in the Ordovician Yingshan Formation in the Gucheng area of the Tarim Basin mainly focuses on the inner gentle slope in the western part of the study area,which results in a low drilling success rate.To address this issue,this study focused on reconstructing sedimentary models and the adjustment strategies for oil and gas exploration.The carbonate sedimentary model of the Yingshan Formation was re-evaluated using the data of seismic interpretation,core observations,thin-section analyses,carbon isotopic composition,well logging,detrital zircon U-Pb dating,and carbonate mineral U-Pb dating.Then,the favorable sedimentary facies belts were delineated,and updated prospective exploration targets were proposed.The results demonstrate that the sedimentary model of the Yingshan Formation in the Gucheng area is characterized as a rimmed platform system,exhibiting an orderly west-to-east sedimentary sequence transition from restricted/open platform environments through the platform margin and slope settings,ultimately grading into basinal deposits.The platform margin,distinguished by thick successions of grain shoals overlain by interlayered karst zones,is the most favorable distribution area for large-scale reservoirs.Guided by this revised sedimentary model,Well Gutan-1 was successfully drilled within the outer platform margin,encountering over 90%high-energy grain shoal facies with well-developed porous and fractured-vuggy reservoirs,and achieving industrial oil and gas flow.It is confirmed that the platform margin is the priority area for oil and gas exploration in the Ordovician System of the Gucheng area,thereby effectively ending the prolonged exploration stagnation in the Yingshan Formation of the Gucheng area.
基金Supported by the Key projects of the PetroChina Joint Fund Under the National Natural Science Foundation of China(U23B20154,92255302)Science and Technology Cooperation Project of the Innovation Consortium between PetroChina and Southwest Petroleum University(2020CX010000)Open Fund of the Key Laboratory of Carbonate Reservoirs,China National Petroleum Corporation(RIPED-2024-JS-1804).
文摘This study reconstructed the paleo-uplift and depression pattern within the sequence stratigraphic framework of the Mid-Permian Maokou Formation,Sichuan Basin,investigated its tectono-sedimentary mechanisms and its control on paleogeomorphology and large-sale shoals based on analysis of outcrops,loggings and seismic data.The results show that the Maokou Formation comprises two third-order sequences,six fourth-order sequences(SSQ1-SSQ6),and four distinct slope-break zones developing progressively from north to south.Slope-break zones I-III in the northern basin,controlled by synsedimentary extensional faults,exhibited a NE-trending linear distribution with gradual southeastward migration.In contrast,slope-break zone IV in the southern basin displayed an arcuate distribution along the Emeishan Large Igneous Province(ELIP).The evolutions of these multistage slope-break zones governed the Mid-Permian paleogeomorphy in the Sichuan Basin transformations from a giant,north-dipping gentle slope(higher in the southwest than in the northeast)in the early-stage(SSQ1-SSQ2)to a platform(south)-basin(north)pattern in the middle-stage(SSQ3-SSQ5).Ultimately,a further depression zone developed in the southwestern basin during the late-stage(SSQ6),forming a paleo-uplift bounded by two depressions.The developments of the Mid-Permian paleogeomorphic configuration reflected the combined control by the rapid subduction of the Mianlüe Ocean and the episodic eruptions of the Emeishan mantle plume(or hot spots),which jointly facilitated the formation of extensive high-energy shoal facies belts along slope-break zones and around paleo-volcanic uplifts.
文摘This invited review is based upon a recent oral paper I presented at the Virtual Reality Symposiumof the 34th International Ethological Conference （2015, Cairns, Australia）, and as such it describesstudies conducted mainly in my own laboratory. It reviews how we utilized visual stimuli for induc-ing behavioral responses in the zebrafish with a focus on shoaling, group forming behavior. Thezebrafish is gaining increasing popularity in neuroscience. With this interest, its behavior is alsomore frequently studied. One of the many advantages of the zebrafish over traditional laboratoryrodents is that this species is diurnal, and it relies heavily upon its visual system. Thus, similarly toour own species, zebrafish respond to visual stimuli in a robust and easily quantifiable manner. Forthe past decade, we have been exploring how to use such visual stimuli, and have developed nu-merous paradigms with which we can induce and quantify a variety of behavioral responses,including shoaling. This review summarizes some of these studies, and discusses questions includ-ing whether one should use live fish as stimulus, whether and how one could present animated（moving images） of fish, and how one could optimize a range of stimulus presentation parametersto elicit the most robust responses in zebrafish. Although the zebrafish is a relative newcomer inethology and behavioral neuroscience, and although many of our findings only represent the firststeps in this research, our results suggest that the behavioral analysis of the zebrafish will have animportant place in biomedical research.
基金This work was financially supported by the Science Foundation of National Education Committee of China (Grant No.40106008) and by LED, South China Sea Institute of Oceanology, Chinese Academy of Sciences.
文摘A new approach to high-order Boussinesq-type equations with ambient currents is presented. The current velocity is assumed to be uniform over depth and of the same magnitude as the shallow water wave celerity. The wave velocity field is expressed in terms of the horizontal and vertical wave velocity components at an arbitrary water depth level. Linear operators are introduced to improve the accuracy of the kinematic condition at the sea bottom. The dynamic and kinematic conditions at the free surface are expressed in terms of wave velocity variables defined directly on the free surface. The new equations provide high accuracy of linear properties as well as nonlinear properties from shallow to deep water, and extend the applicable range of relative water depth in the case of opposing currents.
基金supported by a Researcher Links Grant from the British Council,the Royal Academy of Engineering(Grant No.IAAP1/100086)the EFRaCC Project funded through the British Council's Global Innovation Initiative Program
文摘Long-period waves pose a threat to coastal communities as they propagate from deep ocean to shallow coastal waters. At the coastline, such waves have a greater height and longer period in comparison with local storm waves, and can cause severe inundation and damage. In this study,we considered linear long waves in a two-dimensional(vertical-horizontal) domain propagating towards a shoreline over a shallowing shelf.New solutions to the linear shallow water equations were found, through the separation of variables, for two forms of transition shelf morphology: deep water and shallow coastal water horizontal shelves connected by linear and parabolic transition, respectively. Expressions for the transmission and reflection coefficients are presented for each case. The analytical solutions were used to test the results from a novel computational scheme, which was then applied to extending the existing results relating to the reflected and transmitted components of an incident wave. The solutions and computational package provide new tools for coastal managers to formulate improved defence and riskmitigation strategies.
基金supported by the National Natural Science Foundation of China(Grant Nos.51779022,51809053,and 51579034)the Innovation Team Project of Estuary and Coast Protection and Management(Grant No.Y220013)the Open Project Fund of State Key Laboratory of Coastal and Offshore Engineering,Dalian University of Technology(Grant No.LP19015).
文摘The coefficients embodied in a Boussinesq-type model are very important since they are determined to optimize the linear and nonlinear properties.In most conventional Boussinesq-type models,these coefficients are assigned the specific values.As for the multi-layer Boussinesq-type models with the inclusion of the vertical velocity,however,the effect of the different values of these coefficients on linear and nonlinear performances has never been investigated yet.The present study focuses on a two-layer Boussinesq-type model with the highest spatial derivatives being 2 and theoretically and numerically examines the effect of the coefficient on model performance.Theoretical analysis show that different values for(0.13≤α≤0.25)do not have great effects on the high accuracy of the linear shoaling,linear phase celerity and even third-order nonlinearity for water depth range of 0<kh≤10(k is wave number and h is water depth).The corresponding errors using different values are restricted within 0.1%,0.1%and 1%for the linear shoaling amplitude,dispersion and nonlinear harmonics,respectively.Numerical tests including regular wave shoaling over mildly varying slope from deep to shallow water,regular wave propagation over submerged bar,bichromatic wave group and focusing wave propagation over deep water are conducted.The comparison between numerical results using different values of,experimental data and analytical solutions confirm the theoretical analysis.The flexibility and consistency of the two-layer Boussinesq-type model is therefore demonstrated theoretically and numerically.
