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SOLVING THE VELOCITY PARAMETER OF THE 2-D WAVE INVERSE PROBLEMS WITH THE INTEGRATION-CHARACTERISTIC METHOD
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作者 金咸熙 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1990年第3期277-284,共8页
For the 2-D wave inverse problems introduced from geophysical exploration, in this paper, the author presents integration-characteristic method to solve the velocity parameter, and then applies it to common shotpoint ... For the 2-D wave inverse problems introduced from geophysical exploration, in this paper, the author presents integration-characteristic method to solve the velocity parameter, and then applies it to common shotpoint model data, in noise-free case. The accuracy is quite good. 展开更多
关键词 SOLVING THE VELOCITY PARAMETER OF THE 2-d wave INVERSE PROBLEMS WITH THE INTEGRATION-CHARACTERISTIC METHOD LINE
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Transmission ratio (T_n) in the radian direction normal to joints in 2-D compressional wave propagation in rock masses
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作者 Weidong Lei Jun Teng +1 位作者 Ashraf Mohamed Hefny Jian Zhao 《Journal of University of Science and Technology Beijing》 CSCD 2006年第3期199-206,共8页
The transmission ratio along the radian direction normal to the joints was studied in the Universal Distinct Element Code (UDEC). The variation of the transmission ratio with the ratio of joint spacing to wavelength... The transmission ratio along the radian direction normal to the joints was studied in the Universal Distinct Element Code (UDEC). The variation of the transmission ratio with the ratio of joint spacing to wavelength was generalized into a general curve, which was determined by two critical points. The relationship between the two critical points and the affecting factors, quantity of joints and the normalized normal stiffness of joints, were obtained. A prediction model of the transmission ratio in the radian direction normal to the joints was proposed. The proposed model was applied to a field explosion test. The estimated values of the peak particle velocity from the prediction model were compared with the field records. The comparisons showed that the prediction model of the transmission ratio in the direction normal to the joints in the process of 2-D compressional wave propagation through multiple parallel joints is reliable. 展开更多
关键词 2-d compressional wave wave propagation transmission ratio field explosion test
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NONLINEAR EVOLUTION OF TWO-DIMENSIONAL T-S WAVE IN LOCALIZED ROUGH BOUNDARY LAYER
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作者 陆昌根 吴卫国 戚琴娟 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2009年第3期192-198,共7页
Numerical simulations are carried out to investigate the mechanism of the nonlinear evolution of two- dimensional (2-D) Tollmien-Schlichting (T-S) wave on a localized rough boundary layer. The three-dimensional (... Numerical simulations are carried out to investigate the mechanism of the nonlinear evolution of two- dimensional (2-D) Tollmien-Schlichting (T-S) wave on a localized rough boundary layer. The three-dimensional (3-D) numerical solution of a base flow on a boundary layer is obtained for the localized rough wall with the local- ized ejection, the localized suction and the combination of ejection and suction. Based on numerical simulations, the processes of stable and the most instable nonlinear evolution of the 2-D disturbance T-S wave are studied. The effects of the form on the localized roughness, the intensity, and the distribution structure on the nonlinear evolution of 2-D T-S wave and the growth rate are discussed. Results show that the basic flow induced by the lo- calized rough wall is a key factor causing the fast growth of the disturbance wave. Due to the change of the aver- age flow profile and the existence of the spanwise velocity, the localized rough wall enhances the instability of the flow. Consequently, the instable region of the neutral curve is enlargened, and the maximnum growth rate of the 2-D T-S wave is increased. In the process of the nonlinear evolution of 2-D disturbance T-S wave, with the in- crease of the nonlinear interaction, the most instable 2-D disturbance wave triggers the appearance of the 3-D dis- turbance wave and the high-frequency harmonic wave. Its streamwise wave number and the frequency are the same as those of 2-D disturbance wave. The spanwise velocity can excite the growth of the 2-D disturbance wave, the instability of 2-D wave, the formation of the streamwise vortex, and the generation of 3-D disturbance wave. Simulation results agree well with experimental results. 展开更多
关键词 surface roughness boundary layers 2-d T-S wave
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(2+1)维Konopelchenko-Dubrovsky方程的扰动非行波双孤子和周期解 被引量:2
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作者 康晓蓉 鲜大权 《四川大学学报(自然科学版)》 CAS CSCD 北大核心 2017年第3期477-481,共5页
应用退耦变换和Lie对称群方法,本文首先将(2+1)维KD方程约化为(1+1)维非线性偏微分方程,然后通过广义同宿测试法获得了该方程新的扰动非行波双孤子解及其动力学临界点,得到了参数极限情况下的非行波有理函数奇解.最后,本文运用二维平面... 应用退耦变换和Lie对称群方法,本文首先将(2+1)维KD方程约化为(1+1)维非线性偏微分方程,然后通过广义同宿测试法获得了该方程新的扰动非行波双孤子解及其动力学临界点,得到了参数极限情况下的非行波有理函数奇解.最后,本文运用二维平面动力系统的Hamilton函数讨论了对称约化方程在波变换下的周期解的存在性,并用正切函数拟设法得到了该周期解的显式精确表达,从而相应获得了KD方程的扰动非行波周期解析解. 展开更多
关键词 (2+1)维KD方程 扰动非行波双孤子 HAMILTON函数 扰动非行波周期解
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2-D横向各向同性介质中地震反射波几何运动学研究
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作者 徐中信 张中杰 《长春地质学院学报》 CSCD 1991年第4期445-448,456,共5页
先后推导了水平层与倾斜层2-D横向各向同性介质地震波反射波走时曲线方程,并就似SH波进行了模型计算,发现2-D情况下,似SH波的反射波走时曲线基本上符合双曲线形式。
关键词 地震 反射波 各向同性 介质
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Simulation of Typhoon-Driven Waves in the Yangtze Estuary with Multiple-Nested Wave Models 被引量:13
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作者 徐福敏 Will Perrie +2 位作者 张君伦 宋志尧 Bechara Toulany 《China Ocean Engineering》 SCIE EI 2005年第4期613-624,共12页
Typhoon-generated waves are simulated with two numerical wave models, the SWAN model for the coastal and Yangtze Estuary domain, nested within the WAVEWATCHIII (WW3) for the basin-scale East China Sea domain. Typhoo... Typhoon-generated waves are simulated with two numerical wave models, the SWAN model for the coastal and Yangtze Estuary domain, nested within the WAVEWATCHIII (WW3) for the basin-scale East China Sea domain. Typhoon No. 8114 is chosen because it was very strong, and generated high waves in the Estuary. WW3 was implemented for the East China Sea coarse-resolution computational domain, to simulate the waves over a large spatial scale and provide boundary conditions for SWAN model simulations, implemented on a fine-resolution nested domain for the Yangtze Estuary area. The Takahashi wind model is applied to the simulation of the East China Sea scale (3-hourly) and Yangtze Estuary scale (1-hourly) winds. Simulations of significant wave heights in the East China Sea show that the highest waves are on the right side of the storm track, and maxima tend to occur at the eastern deep-water open boundary of the Yangtze Estuary. In the Yangtze Estuary, incoming swell is dominant over locally generated waves before the typhoon approaches the Estuary. As the typhoon approaches the Estuary, wind waves and swell coexist, and the wave direction is mainly influenced by the swell direction and the complex topography. 展开更多
关键词 WW3 SWAN typhoon-generated waves East China Sea Yangtze Estuary Takahashi wind model 2 D wave spectra significant wave height
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大带隙2维正方晶格光子晶体的优化设计 被引量:4
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作者 李爱萍 王安全 纪延俊 《激光技术》 CAS CSCD 北大核心 2012年第4期508-511,共4页
为了研究2维正方晶格光子晶体的完全带隙特性,采用平面波展开方法模拟了两种结构2维光子晶体,在固定光子晶体周期常数a的前提下,研究了2维正方晶格光子晶体的完全禁带随柱半径和折射率的变化规律。结果表明,以空气为背景的锗介质柱组成... 为了研究2维正方晶格光子晶体的完全带隙特性,采用平面波展开方法模拟了两种结构2维光子晶体,在固定光子晶体周期常数a的前提下,研究了2维正方晶格光子晶体的完全禁带随柱半径和折射率的变化规律。结果表明,以空气为背景的锗介质柱组成的光子晶体,随着半径的增大,完全带隙宽度先增大后减小最后消失,填充比为38.3%时,同时增大介质柱的介电常数,在介质柱折射率为4.2处,完全带隙最大,带宽是0.02754(ωa/(2πc));以锗为背景的空气柱组成的光子晶体,光子禁带对应的无量纲频率随半径的增大而增大,填充比为48.3%时,同时增大背景介质的介电常数,出现多个完全带隙,在背景折射率为6.2处,完全禁带最大,带宽为0.02922(ωa/(2πc))。光子晶体带隙的频谱响应也表明了完全带隙的范围。这为大带隙2维正方晶格光子晶体的设计和制备提供了依据。 展开更多
关键词 材料 2维光子晶体 平面波展开法 完全带隙
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DIRECT NUMERICAL SIMULATION OF VIBRATIONINDUCED T-S WAVE ON BOUNDARY LAYER WALL
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作者 曹卫东 李跃 蒋婷 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2009年第4期274-279,共6页
The spatial growth of the disturbance in the boundary layer is directly numerically simulated, and the receptivity of the Blasius basic flow to the local two-dimensional (2-D) sustainable micro-vibration is investig... The spatial growth of the disturbance in the boundary layer is directly numerically simulated, and the receptivity of the Blasius basic flow to the local two-dimensional (2-D) sustainable micro-vibration is investigated. Results show that the disturbance velocity presents the sine vibration features with the change of time, and the vibration period is identical to the vibration of the local wall. The disturbance velocity presents the fluctuation feature downstream, and the streamwise wave length approximates to the results from the Orr-Sommerfeld equation (OSE). The growth rate from direct numerical simulation(DNS) is a little greater than that from OSE, and their trends are almost consistent. Under the condition of Re= 2 800, the disturbance amplitude gradually grows in the given computational region with the period T=30. However, it firstly increases and then decreases with the period T= 20. The disturbance harmonic of the former is obviously larger than that of the latter. The maximum streamwise and vertical disturbance velocities from DNS do not fully coincide with those from OSE at the vicinity of the local vibration wall, but coincide well with the former when they travel downstream. The 2-D disturbance induced by the local micro-vibration represents the form of Tollmien-Schlichting (T-S) wave on the boundary layer. 展开更多
关键词 boundary layers direct numerical simulation vibrations DISTURBANCE 2-d T-S wave
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正常金属d_(x^2-y^2)+id_(xy)混合波超导结中的隧道谱 被引量:1
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作者 董正超 《低温与超导》 CAS CSCD 北大核心 2000年第1期58-62,共5页
在Blonder-Tinkham-Klapwijk散射理论框架下,通过求解Bogoliubov-deGennes方程,计算正常金属dx2-y2+idxy混合波超导结中的准粒子输运系数和隧道谱。研究表明:隧道谱中的电导峰位置强烈地依赖电子的入射角、超导的晶轴方位和dxy波分量的... 在Blonder-Tinkham-Klapwijk散射理论框架下,通过求解Bogoliubov-deGennes方程,计算正常金属dx2-y2+idxy混合波超导结中的准粒子输运系数和隧道谱。研究表明:隧道谱中的电导峰位置强烈地依赖电子的入射角、超导的晶轴方位和dxy波分量的强度。 展开更多
关键词 混合波超导 隧道谱 铜氧化物 超导体 超导结
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2—D与3—D横向各向同性介质中地震波动方程的解耦
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作者 张中杰 何樵登 《西安石油学院学报》 CAS 1992年第4期10-18,共9页
在2-D横向各向同性介质中,似P波与似SV波耦合;3-D介质中,似P波与似SV波及似SH波均耦合于偏微分波动方程组中,为便于2-D与3-D横向各向同性介质中震波激发以及地震记录合成研究,本文首先对波动方程组本身进行了讨论,进而分别研究了二维与... 在2-D横向各向同性介质中,似P波与似SV波耦合;3-D介质中,似P波与似SV波及似SH波均耦合于偏微分波动方程组中,为便于2-D与3-D横向各向同性介质中震波激发以及地震记录合成研究,本文首先对波动方程组本身进行了讨论,进而分别研究了二维与三维横向各向同性介质中波动方程组的解耦问题,得到了解耦后的关于位移分量偏微分方程。 展开更多
关键词 各向同性介质 地震波 方程 解耦
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(2+1)维AKNS方程的初值扰动波及动力学行为 被引量:3
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作者 康晓蓉 鲜大权 鲜骊珠 《西南科技大学学报》 CAS 2021年第2期89-94,共6页
综合应用相平面分析法和初值扰动椭圆函数展开法研究(2+1)维AKNS方程。给出了方程行波闭轨和同异宿轨的存在性,获得了方程含时间任意函数初始解扰动的椭圆正弦函数精确解,分析了所获解结构在初值扰动下的三类特征,讨论了初值扰动波的局... 综合应用相平面分析法和初值扰动椭圆函数展开法研究(2+1)维AKNS方程。给出了方程行波闭轨和同异宿轨的存在性,获得了方程含时间任意函数初始解扰动的椭圆正弦函数精确解,分析了所获解结构在初值扰动下的三类特征,讨论了初值扰动波的局域激发几何结构。所获结果丰富了该方程的可积意义和动力学内涵。 展开更多
关键词 (2+1)维AKNS方程 行波初值扰动 相平面分析 椭圆函数展开法 局域激发结构
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Numerical study on maximum rebound ratio in blasting wave propagation along radian direction normal to joints 被引量:4
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作者 雷卫东 滕军 +2 位作者 HEFNY A 赵坚 关炯 《Journal of Central South University of Technology》 EI 2006年第6期743-748,共6页
In the process of 2-D compressional wave propagation in a rock mass with multiple parallel joints along the radian direction normal to the joints, the maximum possible wave amplitude corresponding to the points betwee... In the process of 2-D compressional wave propagation in a rock mass with multiple parallel joints along the radian direction normal to the joints, the maximum possible wave amplitude corresponding to the points between the two adjacent joints in the joint set is controlled by superposition of the multiple transmitted and the reflected waves, measured by the maximum rebound ratio. Parametric studies on the maximum rebound ratio along the radian direction normal to the joints were performed in universal distinct element code. The results show that the maximum rebound ratio is influenced by three factors, i.e., the normalized normal stiffness of joints, the ratio of joint spacing to wavelength and the joint from which the wave rebounds. The relationship between the maximum rebound ratio and the influence factors is generalized into five charts. Those charts can be used as the prediction model for estimating the maximum rebound ratio. 展开更多
关键词 2-d compressional wave maximum rebound ratio stiffness of joint
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Pilot studies on two dimensional wave propagation in rock masses 被引量:1
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作者 雷卫东 M.H.Ashraf 赵坚 《中国有色金属学会会刊:英文版》 EI CSCD 2005年第4期949-955,共7页
Pilot studies on two dimensional(2-D) wave propagation through single joint or multiple parallel joints were comprehensively conducted, using a suitable data processing method. The possible factors influencing the tra... Pilot studies on two dimensional(2-D) wave propagation through single joint or multiple parallel joints were comprehensively conducted, using a suitable data processing method. The possible factors influencing the transmission ratio in 2-D wave propagation under certain circumstances in rock masses were studied. It is found that in the process of 2-D wave propagation, for any radial line, the amount, the stiffness and the spacing of the joints influence the transmission ratio; by contrast, the transmission ratio at any point is independent of the radial distance from the center of wave source. It is also found that the transmission ratio for every grid-point along a single circle can present the transmission ratio for every grid-point after a certain quantity of joints. For the special radian direction(normal to the joints), it is concluded that the transmission ratio is dominated by the normal stiffness; while the influence of shear stiffness is negligible. The radius of the tunnel or borehole for the source wave does not affect the transmission ratio in 2-D wave propagation. 展开更多
关键词 矿山 岩石力学 引航理论 二维波传播
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极速脉搏波速度技术评价维生素D缺乏对2型糖尿病患者早期颈动脉弹性功能的影响 被引量:6
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作者 刘安宁 刘晗 李玉宏 《中国医学影像技术》 CSCD 北大核心 2020年第6期839-843,共5页
目的应用极速脉搏波速度(UFPWV)技术观察维生素D缺乏对2型糖尿病(T2DM)患者早期颈动脉弹性功能的影响。方法根据25-羟维生素D 3[25(OH)D 3]水平将92例T2DM患者(T2DM组)分为维生素D缺乏亚组和维生素D非缺乏亚组,以1544名健康成人为对照组... 目的应用极速脉搏波速度(UFPWV)技术观察维生素D缺乏对2型糖尿病(T2DM)患者早期颈动脉弹性功能的影响。方法根据25-羟维生素D 3[25(OH)D 3]水平将92例T2DM患者(T2DM组)分为维生素D缺乏亚组和维生素D非缺乏亚组,以1544名健康成人为对照组,记录2组临床资料及实验室指标,应用UFPWV技术测量颈动脉弹性参数,包括收缩期起始及结束时脉搏波速度(PWV-BS、PWV-ES),对上述数据进行统计学分析。结果①T2DM组中,维生素D缺乏亚组体质量指数(BMI)、空腹血糖(FPG)、收缩压、舒张压、总胆固醇(TC)、甘油三酯、PWV-BS、PWV-ES水平均高于非缺乏亚组(P均<0.05),高密度脂蛋白胆固醇(HDL-C)水平低于维生素D非缺乏组(P<0.05)。②Pearson相关分析发现,PWV-BS、PWV-ES与年龄、BMI、FPG、收缩压、舒张压及TC呈正相关(P均<0.05),与25(OH)D 3、HDL-C呈负相关(P均<0.05)。③多元线性逐步回归分析显示,FPG、收缩压、年龄及TC是PWV-BS、PWV-ES的危险因素(P均<0.05),25(OH)D 3是PWV-ES的保护因素(P<0.05)。结论维生素D缺乏T2DM患者PWV-BS、PWV-ES明显升高;维生素D可能是T2DM患者颈动脉硬化的保护因素,监测T2DM患者维生素水平并及时补充维生素D或可延缓其并发症发生发展。 展开更多
关键词 糖尿病 2 维生素D缺乏 颈动脉 弹性 极速脉搏波速度
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δ-WAVE FOR 1-D AND 2-D HYPERBOLIC SYSTEMS 被引量:1
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作者 S.L. Yang(Institute of Applied Mathematics, Chinese Academy of Sciences, Beijing, China) 《Journal of Computational Mathematics》 SCIE CSCD 1996年第3期256-262,共7页
Here a new kind of nonlinear wave, which is called δ-wave, is described by some high resolution difference solutions for Riemann problems of one-dimensional (1-D) and two-dimensional (2-D) nonlinear hyperbolic system... Here a new kind of nonlinear wave, which is called δ-wave, is described by some high resolution difference solutions for Riemann problems of one-dimensional (1-D) and two-dimensional (2-D) nonlinear hyperbolic systems in conservation laws. Some phenomena are numerically shown for the solutions of Riemann problems for 2-D gas dynamics systems 展开更多
关键词 ZHANG wave FOR 1-d AND 2-d HYPERBOLIC SYSTEMS
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二维波动方程速度的正则化-同伦-测井约束反演 被引量:21
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作者 傅红笋 韩波 《地球物理学报》 SCIE EI CAS CSCD 北大核心 2005年第6期1441-1448,共8页
针对二维波动方程反问题,将大范围收敛的同伦方法引入速度参数的反演过程中,并将其与求解不适定问题的Tikhonov正则化有机结合,提出了一种新的、特别适用于非线性的、不适定的、多极值的地震勘探反演问题的反演策略:正则化-同伦方法.为... 针对二维波动方程反问题,将大范围收敛的同伦方法引入速度参数的反演过程中,并将其与求解不适定问题的Tikhonov正则化有机结合,提出了一种新的、特别适用于非线性的、不适定的、多极值的地震勘探反演问题的反演策略:正则化-同伦方法.为了充分利用测井资料和地震资料的互补特征,进一步提高反演分辨率并压制噪声,设计了正则化-同伦-测井约束联合反演方法.大量数值试验结果表明了这两种方法的有效性. 展开更多
关键词 二维波动方程 速度反演 TIKHONOV正则化 同伦方法 测井约束
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张渤构造带中东段二维P波速度结构——安新—香河—宽城剖面 被引量:23
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作者 王夫运 张先康 +5 位作者 陈颙 李丽 陈棋福 赵金仁 张建狮 刘宝峰 《地震学报》 CSCD 北大核心 2004年第S1期31-41,共11页
为了获取首都圈地区 (3 8.5°N~ 41 .0°N ,1 1 4.0°E~ 1 2 0 .0°E)三维地壳精细结构 ,在该地区实施了 6次人工爆破 ,进行三维深地震测深 .利用纵测线安新三台、安次旧州、三河新集、遵化平安城 4炮的人工爆破资料 ... 为了获取首都圈地区 (3 8.5°N~ 41 .0°N ,1 1 4.0°E~ 1 2 0 .0°E)三维地壳精细结构 ,在该地区实施了 6次人工爆破 ,进行三维深地震测深 .利用纵测线安新三台、安次旧州、三河新集、遵化平安城 4炮的人工爆破资料 ,研究张渤带中东段的二维速度结构 .华北平原和燕山褶断带的深部分界位置大体在宝坻断裂一带 ,深部结构构造表现为宽约数十千米的一个异常带 .分界处的壳幔结构为 :结晶基底明显凹陷 ;壳幔边界之上为强正速度梯度层 ,厚约 3~ 4km ,可能是上地幔物质上涌到下地壳底部的结果 ;壳内界面和莫霍边界上隆 ,并可能存在错断 .华北盆地地壳薄 ,壳内存在低速体和局部结构异常 ;燕山褶断带地壳厚 ,壳内分层明显 ,速度分布均匀 .两构造单元结构存在明显差异 . 展开更多
关键词 二维P波速度结构 人工爆破 首都圈地区 张渤构造带 壳幔过渡带
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复杂介质地震波传播模拟中边界元法与有限差分法的比较研究 被引量:19
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作者 何彦锋 孙伟家 符力耘 《地球物理学进展》 CSCD 北大核心 2013年第2期664-678,共15页
地震波场数值模拟是理论地球物理学和勘探地球物理学的重要研究手段.在众多数值模拟方法中边界元法和有限差分法是两种典型的地震波传播模拟计算方法.边界元法是一种半解析-半数值的边界型方法,它显式地利用边界连续条件,沿着地层边界... 地震波场数值模拟是理论地球物理学和勘探地球物理学的重要研究手段.在众多数值模拟方法中边界元法和有限差分法是两种典型的地震波传播模拟计算方法.边界元法是一种半解析-半数值的边界型方法,它显式地利用边界连续条件,沿着地层边界进行离散,具有降维、高精度和自动满足远场辐射条件的优点;有限差分法是一种典型的基于微分的区域型方法,它隐式地使用边界连续条件,以空间网格形式进行离散和数值逼近,具有高效、实用和容易数值实现的优点.本文以一个半圆形均匀Valley模型和两个非均匀断裂/断层模型为例,从计算精度、计算效率、频散特性以及适用性等方面对这两种方法进行了比较研究.数值计算结果表明:边界元法可以精确地几何描述有内部断点、断面的复杂构造,能够精确地模拟内部不规则界面之间波的反射/传播;有限差分法不能以足够的精度描述几何断点和内部不规则边界.边界元法在高频时计算量大于有限差分法,有限差分法则需要更小的网格间距以压制数值频散.因此,在处理内部非均质和高频计算时,有限差分法更有效;在处理内部不规则边界、断点、大尺度等问题时,边界元法比有限差分法更有优势. 展开更多
关键词 边界元法 有限差分法 数值模拟 地震波传播 2-d SH波
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波动数值模拟的一种显式方法——二维波动 被引量:4
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作者 刘恒 廖振鹏 《力学学报》 EI CSCD 北大核心 2010年第6期1104-1116,共13页
将一维波动时域数值模拟的一种显式方法推广到二维,导出了二维非规则网格的节点递推公式.针对均匀正方形网格详细论述了时空精度皆为2M阶(M为正整数)的稳定递推公式的构建方法,并以构建二阶(M=1)和四阶(M=2)公式为例予以说明.最后,通过... 将一维波动时域数值模拟的一种显式方法推广到二维,导出了二维非规则网格的节点递推公式.针对均匀正方形网格详细论述了时空精度皆为2M阶(M为正整数)的稳定递推公式的构建方法,并以构建二阶(M=1)和四阶(M=2)公式为例予以说明.最后,通过算例检验了本文研究结果,特别是说明了高阶公式对提高计算效率的价值. 展开更多
关键词 二维波动方程 数值模拟 显式递推公式 有限元
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二维溃坝波传播和绕流特性的高精度数值模拟 被引量:13
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作者 王嘉松 倪汉根 金生 《水利学报》 EI CSCD 北大核心 1998年第10期1-6,共6页
本文建立了二维浅水方程的高分辨率差分模型,即将浅水方程作空间差分分裂,分别沿x、y方向应用组合型的通量限制二阶TVD格式,采用VanLeer的MUSCL型限量函数,用以解决二维溃坝的计算问题.首先分别与一维理论解和其... 本文建立了二维浅水方程的高分辨率差分模型,即将浅水方程作空间差分分裂,分别沿x、y方向应用组合型的通量限制二阶TVD格式,采用VanLeer的MUSCL型限量函数,用以解决二维溃坝的计算问题.首先分别与一维理论解和其它二维结果的比较,表明本文的方法非常成功.然后对全溃和部分溃情况下的溃坝波传播和绕流问题进行了数值研究,给出了精细的数值结果,揭示了其复杂的运动特性. 展开更多
关键词 浅水方程 二阶TVD 二维溃坝波 绕流
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