New analytical solutions are derived to estimate the interaction of surface and groundwater in a stream-aquifer system.The analytical model consists of an unconfined sloping aquifer of semi-infinite extant,interacting...New analytical solutions are derived to estimate the interaction of surface and groundwater in a stream-aquifer system.The analytical model consists of an unconfined sloping aquifer of semi-infinite extant,interacting with a stream of varying water level in the presence of a thin vertical sedimentary layer of lesser hydraulic conductivity.Flow of subsurface seepage is characterized by a nonlinear Boussinesq equation subjected to mixed boundary conditions,including a nonlinear Cauchy boundary condition to approximate the flow through the sedimentary layer.Closed form analytical expressions for water head,discharge rate and volumetric exchange are derived by solving the linearized Boussinesq equation using Laplace transform technique.Asymptotic cases such as zero slope,absence of vertical clogging layer and abrupt change in stream-stage can be derived from the main results by taming one or more parameters.Analytical solutions of the linearized Boussinesq equation are compared with numerical solution of corresponding nonlinear equation to assess the validity of the linearization.Advantages of using a nonlinear Robin boundary condition,and combined effects of aquifer parameters on the bank storage characteristic of the aquifer are illustrated with a numerical example.展开更多
INTRODUCTION:In-stream and watershed dynamics in urban and urbanizing areas have significant impacts on local property and infrastructure,as well as the quality of the stream itself including:water quality,habitat,phy...INTRODUCTION:In-stream and watershed dynamics in urban and urbanizing areas have significant impacts on local property and infrastructure,as well as the quality of the stream itself including:water quality,habitat,physical characteristics,and biodiversity.As land development occurs,natural vegetation and exposed soils are converted to buildings,pavement and other impervious surfaces.This leads to increased runoff during storm events as well as decreasing the time that it takes that stormwater to reach streams,wetlands,and other stormwater storage and conveyance systems.These hydrologic changes in a watershed often occur at a rapid pace which results in rapid destabilization and degradation of streams and rivers.Rivers and streams are naturally dynamic systems.They naturally erode and reshape themselves based on changes to the watershed or the stream itself.Erosion and deposition are natural processes that have always been important components of stream systems and in and of themselves are not undesirable.When natural stream dynamics are rapidly accelerated,however,an entire series of negative impacts to the stream and the biological systems that are depended on the stream occur.Rapid destabilization of streams often leads to significant bank and bed erosion that negatively impact stream health and frequently leads to negative impact to property,buildings and structures,as well as public infrastructure.Past approaches to stream bank and bed stabilization often involved channelization,armoring,and other gray infrastructure techniques to protect public and private property in the effected reaches of streams and rivers without taking into account the overall stream system dynamics.Early stabilization efforts frequently led to other unintended consequences by accelerating the rate of bank and bed erosion in untreated reaches,inadvertent flooding,and other infrastructure impacts.The complex nature of stream dynamics and fluvial geomorphology when applied to urban stream systems and significantly modified watersheds require the need for detailed analysis of the morphology of the stream.Consideration of the complex factors and processes that make up fluvial morphology are critical when selecting practices or methods of stream restoration.Many agencies and cooperative partners work to accumulate and analyze case studies and detailed research in order to develop a method of evaluating and prescribing different stream restoration techniques based on the morphologic conditions in the stream reach(Lyn D.A.,and Newton J.F.,2015).An accumulation of case studies,research,and scholarly work on stream restoration techniques and practices helps shape and inform designers across multiple agencies in order to effectively select and design restoration practices.Ultimately,in urban streams,the designer is working to establish a condition of dynamic equilibrium in the treated stream reach.Dynamic equilibrium is defined as a stream reach that is in balance with sediment transport,aggradation,degradation,and bank and bed erosion.When those characteristics are in balance based on the inputs of sediment within the watershed,the bed load and sediments the stream transports,and discharge rate and volume,then the stream is considered to be in a relatively stable state(FISRWG,1998).The selection then of stream restoration and stabilization practices in urban areas is dependent on not only the reach being treated,but also on the overall watershed dynamics.In addition to the physics of the actual practices implemented,including resistance to shear stresses and velocity of the water flow within the stream channel being treated,the practices must also take into account the larger picture of stream dynamics including sediment delivery and transport,within the watershed and not just within the treated reach.Successful urban stream restoration and stabilization techniques mimic the structures found in more undisturbed systems through the utilization of similar materials in an engineered configuration.In many streams the use of a combination of hard and soft armorment and stabilization solutions including stone,woody debris materials,modern geosynthetic reinforcement devices and native vegetation to stabilize and naturalize stream channels,thereby provided enhanced habitat,better water quality,and protecting property and infrastructure.展开更多
文摘New analytical solutions are derived to estimate the interaction of surface and groundwater in a stream-aquifer system.The analytical model consists of an unconfined sloping aquifer of semi-infinite extant,interacting with a stream of varying water level in the presence of a thin vertical sedimentary layer of lesser hydraulic conductivity.Flow of subsurface seepage is characterized by a nonlinear Boussinesq equation subjected to mixed boundary conditions,including a nonlinear Cauchy boundary condition to approximate the flow through the sedimentary layer.Closed form analytical expressions for water head,discharge rate and volumetric exchange are derived by solving the linearized Boussinesq equation using Laplace transform technique.Asymptotic cases such as zero slope,absence of vertical clogging layer and abrupt change in stream-stage can be derived from the main results by taming one or more parameters.Analytical solutions of the linearized Boussinesq equation are compared with numerical solution of corresponding nonlinear equation to assess the validity of the linearization.Advantages of using a nonlinear Robin boundary condition,and combined effects of aquifer parameters on the bank storage characteristic of the aquifer are illustrated with a numerical example.
文摘INTRODUCTION:In-stream and watershed dynamics in urban and urbanizing areas have significant impacts on local property and infrastructure,as well as the quality of the stream itself including:water quality,habitat,physical characteristics,and biodiversity.As land development occurs,natural vegetation and exposed soils are converted to buildings,pavement and other impervious surfaces.This leads to increased runoff during storm events as well as decreasing the time that it takes that stormwater to reach streams,wetlands,and other stormwater storage and conveyance systems.These hydrologic changes in a watershed often occur at a rapid pace which results in rapid destabilization and degradation of streams and rivers.Rivers and streams are naturally dynamic systems.They naturally erode and reshape themselves based on changes to the watershed or the stream itself.Erosion and deposition are natural processes that have always been important components of stream systems and in and of themselves are not undesirable.When natural stream dynamics are rapidly accelerated,however,an entire series of negative impacts to the stream and the biological systems that are depended on the stream occur.Rapid destabilization of streams often leads to significant bank and bed erosion that negatively impact stream health and frequently leads to negative impact to property,buildings and structures,as well as public infrastructure.Past approaches to stream bank and bed stabilization often involved channelization,armoring,and other gray infrastructure techniques to protect public and private property in the effected reaches of streams and rivers without taking into account the overall stream system dynamics.Early stabilization efforts frequently led to other unintended consequences by accelerating the rate of bank and bed erosion in untreated reaches,inadvertent flooding,and other infrastructure impacts.The complex nature of stream dynamics and fluvial geomorphology when applied to urban stream systems and significantly modified watersheds require the need for detailed analysis of the morphology of the stream.Consideration of the complex factors and processes that make up fluvial morphology are critical when selecting practices or methods of stream restoration.Many agencies and cooperative partners work to accumulate and analyze case studies and detailed research in order to develop a method of evaluating and prescribing different stream restoration techniques based on the morphologic conditions in the stream reach(Lyn D.A.,and Newton J.F.,2015).An accumulation of case studies,research,and scholarly work on stream restoration techniques and practices helps shape and inform designers across multiple agencies in order to effectively select and design restoration practices.Ultimately,in urban streams,the designer is working to establish a condition of dynamic equilibrium in the treated stream reach.Dynamic equilibrium is defined as a stream reach that is in balance with sediment transport,aggradation,degradation,and bank and bed erosion.When those characteristics are in balance based on the inputs of sediment within the watershed,the bed load and sediments the stream transports,and discharge rate and volume,then the stream is considered to be in a relatively stable state(FISRWG,1998).The selection then of stream restoration and stabilization practices in urban areas is dependent on not only the reach being treated,but also on the overall watershed dynamics.In addition to the physics of the actual practices implemented,including resistance to shear stresses and velocity of the water flow within the stream channel being treated,the practices must also take into account the larger picture of stream dynamics including sediment delivery and transport,within the watershed and not just within the treated reach.Successful urban stream restoration and stabilization techniques mimic the structures found in more undisturbed systems through the utilization of similar materials in an engineered configuration.In many streams the use of a combination of hard and soft armorment and stabilization solutions including stone,woody debris materials,modern geosynthetic reinforcement devices and native vegetation to stabilize and naturalize stream channels,thereby provided enhanced habitat,better water quality,and protecting property and infrastructure.
