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Finite element equations and numerical simulation of elastic wave propagation in two-phase anisotropic media 认领 引用
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作者 刘洋 魏修成 《Acta Seismologica Sinica(English Edition)》 2003年第2期166-174,共9页
Based on Biot theory of two-phase anisotropic media and Hamilton theory about dynamic problem,finite element equations of elastic wave propagation in two-phase anisotropic media are derived in this paper.Numerical sol... Based on Biot theory of two-phase anisotropic media and Hamilton theory about dynamic problem,finite element equations of elastic wave propagation in two-phase anisotropic media are derived in this paper.Numerical solution of finite element equations is given.Finally,Properties of elastic wave propagation are observed and analyzed through FEM modeling. 展开更多
关键词 two-phase anisotropic media elastic wave propagation finite element equations numerical simulation
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Inverting reservoir parameters in a two-phase fractured medium with a niche genetic algorithm 认领 引用 被引量:3
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作者 张生强 韩立国 +2 位作者 刘春成 张益明 巩向博 《Applied Geophysics》 SCIE CSCD 2012年第4期440-450,496,共11页
In this paper we calculate a synthetic medium surface displacement response that is consistent with real measurement data by applying the least-square principle and a niche genetic algorithm to the parameters inversio... In this paper we calculate a synthetic medium surface displacement response that is consistent with real measurement data by applying the least-square principle and a niche genetic algorithm to the parameters inversion problem of the wave equation in a two-phase medium. We propose a niche genetic multi-parameter (including porosity, solid phase density and fluid phase density) joint inversion algorithm based on a two-phase fractured medium in the BISQ model. We take the two-phase fractured medium of the BISQ model in a two- dimensional half space as an example, and carry out the numerical reservoir parameters inversion. Results show that this method is very convenient for solving the parameters inversion problem for the wave equation in a two-phase medium, and has the advantage of strong noise rejection. Relative to conventional genetic algorithms, the niche genetic algorithm based on a sharing function can not only significantly speed up the convergence, but also improve the inversion precision. 展开更多
关键词 Parameters inversion niche genetic algorithm BISQ model two-phase fracturedmedium wave equation
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Physical mechanism of seismic attenuation in a two-phase medium 认领 引用 被引量:6
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作者 李子顺 《Applied Geophysics》 SCIE 2008年第1期9-17,共9页
High-frequency seismic attenuation is conventionally attributed to anelastic absorption. In this paper, I present three studies on high-frequency seismic attenuation and propose that the physical mechanism results fro... High-frequency seismic attenuation is conventionally attributed to anelastic absorption. In this paper, I present three studies on high-frequency seismic attenuation and propose that the physical mechanism results from the interference of elastic microscopic multiple scattering waves. First, I propose a new theory on wave propagation in a two-phase medium which is based on the concept that the basic unit for wave propagation is a nano- mass point. As a result of the elasticity variations of pore fluid and rock framework, micro multiple scattering waves would emerge at the wavelength of the seismic waves passing through the two-phase medium and their interference and overlap would generate high- frequency seismic attenuation. Second, I present a study of the frequency response of seismic transmitted waves by modeling thin-layers with thicknesses no larger than pore diameters. Results indicate that high-frequency seismic waves attenuate slightly in a near-surface water zone but decay significantly in a near-surface gas zone. Third, I analyze the seismic attenuation characteristics in near-surface water and gas zones using dual-well shots in the Songliao Basin, and demonstrate that the high-frequency seismic waves attenuate slightly in water zones but in gas zones the 160-1600 Hz propagating waves decay significantly. The seismic attenuation characteristics from field observations coincide with the modeling results. Conclusions drawn from these studies theoretically support seismic attenuation recovery. 展开更多
关键词 two-phase medium seismic attenuation nanometer wave propagation theory multiple scattering waves.
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Numerical simulation of elastic wave propagation based on the transversely isotropic BISQ equation 认领 引用
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作者 杨宽德 杨顶辉 王书强 《Acta Seismologica Sinica(English Edition)》 2002年第6期628-635,共8页
The Biot and Squirt-flow are the two most important mechanisms of fluid flow in the porous medium with fluids. Based on the BISQ (Biot-Squirt) model where the two mechanisms are treated simultaneously, dispersion and ... The Biot and Squirt-flow are the two most important mechanisms of fluid flow in the porous medium with fluids. Based on the BISQ (Biot-Squirt) model where the two mechanisms are treated simultaneously, dispersion and attenuation of elastic waves in the porous medium are widely investigated in recent years. However, we have not read any reports on numerical simulation based on the BISQ equation. In this paper, following the BISQ equation, elastic wave propagation in the transversely isotropic porous medium filled with fluids is simulated by the stag-gered grid method for different frequency and phase boundary cases and the two-layer medium. And propagating characteristics of seismic and acoustic waves and various phenomena occured in the propagating process are in-vestigated when the two mechanisms are considered simultaneously. 展开更多
关键词 BISQ equation wave-fields simulation transversely isotropic medium staggered grid method
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Finite-difference numerical modeling with even-order accuracy in two-phase anisotropic media 认领 引用 被引量:13
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作者 刘洋 魏修 《Applied Geophysics》 SCIE 2008年第2期107-114,共8页
To improve the accuracy of the conventional finite-difference method, finitedifference numerical modeling methods of any even-order accuracy are recommended. We introduce any even-order accuracy difference schemes of ... To improve the accuracy of the conventional finite-difference method, finitedifference numerical modeling methods of any even-order accuracy are recommended. We introduce any even-order accuracy difference schemes of any-order derivatives derived from Taylor series expansion. Then, a finite-difference numerical modeling method with any evenorder accuracy is utilized to simulate seismic wave propagation in two-phase anisotropic media. Results indicate that modeling accuracy improves with the increase of difference accuracy order number. It is essential to find the optimal order number, grid size, and time step to balance modeling precision and computational complexity. Four kinds of waves, static mode in the source point, SV wave cusps, reflection and transmission waves are observed in two-phase anisotropic media through modeling. 展开更多
关键词 two-phase anisotropy finite-difference any even-order accuracy numerical modeling wave equations
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Pressure/Saturation System for Immiscible Two-Phase Flow: Uniqueness Revisited 认领 引用 被引量:1
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作者 Koffi B. Fadimba 《Applied Mathematics》 2011年第5期541-550,共10页
We give a sufficient condition for uniqueness for the pressure/saturation system. We establish this condition through analytic arguments, and then construct 'mobilities' (or mobility-like functions) that satis... We give a sufficient condition for uniqueness for the pressure/saturation system. We establish this condition through analytic arguments, and then construct 'mobilities' (or mobility-like functions) that satisfy the new condition (when the parameter is 2). For the constructed 'mobilities', we do graphical experiments that show, empirically, that this condition could be satisfied for other values of . These empirical experiments indicate that the usual smoothness condition on the fractional flow function (and on the total mobility), for uniqueness and convergence, might not be necessary. This condition is also sufficient for the convergence of a family of perturbed problems to the original pressure/saturation problem. 展开更多
关键词 Porous Medium Uniqueness of a Solution Degenerate Equation Immiscible Two-Phase Flow Regularization Phase Mobility.
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Numerical modeling of seismic wavefields in transversely isotropic media with a compact staggered-grid finite difference scheme 认领 引用 被引量:26
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作者 杜启振 李宾 侯波 《Applied Geophysics》 SCIE 2009年第1期42-49,103,共8页
To deal with the numerical dispersion problem, by combining the staggeredgrid technology with the compact finite difference scheme, we derive a compact staggered- grid finite difference scheme from the first-order vel... To deal with the numerical dispersion problem, by combining the staggeredgrid technology with the compact finite difference scheme, we derive a compact staggered- grid finite difference scheme from the first-order velocity-stress wave equations for the transversely isotropic media. Comparing the principal truncation error terms of the compact staggered-grid finite difference scheme, the staggered-grid finite difference scheme, and the compact finite difference scheme, we analyze the approximation accuracy of these three schemes using Fourier analysis. Finally, seismic wave numerical simulation in transversely isotropic (VTI) media is performed using the three schemes. The results indicate that the compact staggered-grid finite difference scheme has the smallest truncation error, the highest accuracy, and the weakest numerical dispersion among the three schemes. In summary, the numerical modeling shows the validity of the compact staggered-grid finite difference scheme. 展开更多
关键词 transversely isotropic medium compact staggered-grid the first-order velocitystress wave equations numerical dispersion wave field simulation
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声-弹耦合矢量分离方程逆时偏移成像 认领 引用
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作者 徐浩源 吴国忱 +2 位作者 杨凌云 张博 贾宗锋 《地球物理学进展》 CSCD 北大核心 2026年第1期251-266,共16页
在对海底复杂构造区域的成像过程中,需要利用弹性波动方程来弥补声波逆时偏移成像缺失的转换波信息,同时对模拟得到的弹性波场进行解耦以避免纵横波的串扰现象.本文基于一阶速度-应力弹性波动方程,针对海洋环境下的流-固耦合介质,构建了... 在对海底复杂构造区域的成像过程中,需要利用弹性波动方程来弥补声波逆时偏移成像缺失的转换波信息,同时对模拟得到的弹性波场进行解耦以避免纵横波的串扰现象.本文基于一阶速度-应力弹性波动方程,针对海洋环境下的流-固耦合介质,构建了声-弹耦合矢量分离方程以及其时间域的交错网格有限差分格式;通过对耦合的纵波与横波进行波场解耦,并进一步明确了分离前后波场的特征;最后通过模型试算,验证本文方法的有效性与准确性,以及逆时偏移成像结果的可靠性.通过本文提出的声-弹耦合矢量分离方程,将弹性波场分离为纯纵波场与纯横波场,可以有效避免传统Helmholtz分解带来的相位偏移、振幅失真及横波极性反转等问题,得到高精度的逆时偏移成像结果. 展开更多
关键词 流-固耦合介质 声-弹耦合方程 纵横波分离 有限差分 逆时偏移
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Propagation and attenuation of P-waves in patchy saturated porous media 认领 引用 被引量:2
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作者 张会星 何兵寿 《Applied Geophysics》 SCIE CSCD 2015年第3期401-408,468,469,共8页
We establish a patchy saturation model and derive the seismic wave equations for patchy saturated porous media on the basis of Biot's equations and Johnson's bulk modulus. We solve the equations, obtain the attenuat... We establish a patchy saturation model and derive the seismic wave equations for patchy saturated porous media on the basis of Biot's equations and Johnson's bulk modulus. We solve the equations, obtain the attenuation coefficients, and analyze the characteristics of wave attenuation in the seismic frequency range. The results suggest that seismic waves show attenuation and dispersion in partially saturated rocks in the low frequency range. With frequency increasing, attenuation increases. The attenuation of P-waves of the second kind is more pronounced in agreement with Biot's theory. We also study the effect of porosity, saturation, and inner sphere radius on the attenuation of the P-waves of the first kind and find that attenuation increases with increasing frequency and porosity, and decreases with increasing frequency and degree of saturation. As for the inner sphere radius, wave attenuation is initially increasing with increasing frequency and inner sphere radius less than half the outer radius. Subsequently, wave attenuation decreases with increasing frequency and inner sphere radius is higher than half the outer sphere radius. 展开更多
关键词 Patchy saturated-porous medium propagation equation seismic wave attenuation
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塔里木盆地沙漠地区近地表衰减介质对深层-超深层缝洞储集体成像影响 认领 引用
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作者 申哲宇 饶莹 +2 位作者 赵振聪 张庆 丁晟 《天然气工业》 EI CAS CSCD 北大核心 2026年第5期54-63,共10页
沙漠地区近地表层结构松散、风化剥蚀严重,对地震波的吸收衰减效应明显,严重影响塔里木盆地地区深层-超深层缝洞型储层的成像精度与识别可靠性,而现有研究较少定量化刻画该效应对储集体成像特征的综合影响。为此,基于广义黏弹性波动方程... 沙漠地区近地表层结构松散、风化剥蚀严重,对地震波的吸收衰减效应明显,严重影响塔里木盆地地区深层-超深层缝洞型储层的成像精度与识别可靠性,而现有研究较少定量化刻画该效应对储集体成像特征的综合影响。为此,基于广义黏弹性波动方程,采用伪谱法开展近地表强衰减条件下的缝洞储集体正演研究,并对比分析了近地表不同衰减强度和衰减层厚度条件下,深层-超深层缝洞储集体的反射特征及其成像结果。研究结果表明:(1)近地表强吸收衰减条件下两并列储集体至少需要间隔1/2波长,其地震成像才可有效区分不同缝洞储集体;(2)在地表强衰减条件下,低速储集体相对于高速储集体分辨率更高,且不同速度储集体组合间会相互干涉,降低地震成像分辨率;(3)强地表吸收衰减条件下储集体成像错位距离与吸收衰减层厚度呈正比例关系;(4)近地表吸收衰减效应会导致储集体“串珠状”成像相位与储集体顶底界面对应关系发生变化。结论认为,该研究深化了结构松散的近地表对深层-超深层缝洞储集体地震波反射特征以及成像精度影响的认识,对缝洞储集体成像规律研究具有较好的指导和借鉴意义。 展开更多
关键词 广义黏弹性波动方程 吸收衰减介质 正演模拟 深部储集体成像 沙漠地区近地表
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A General Linear Wave Theory for Water Waves Propagating over Uneven Porous Bottoms 认领 引用 被引量:3
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作者 锁要红 黄虎 《海洋工程:英文版》 2004年第1期163-171,共9页
Starting from the widespread phenomena of porous bottoms in the near shore region, considering fully the diversity of bottom topography and wave number variation, and including the effect of evanescent modes, a genera... Starting from the widespread phenomena of porous bottoms in the near shore region, considering fully the diversity of bottom topography and wave number variation, and including the effect of evanescent modes, a general linear wave theory for water waves propagating over uneven porous bottoms in the near shore region is established by use of Green's second identity. This theory can be reduced to a number of the most typical mild-slope equations currently in use and provide a reliable research basis for follow-up development of nonlinear water wave theory involving porous bottoms. 展开更多
关键词 porous medium bottoms mild-slope equation wave number variation Green's second identity
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Propagation velocity and time laws of backpressure wave in the wellbore during managed pressure drilling 认领 引用
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作者 Yan Tie Qu Junbo +2 位作者 Sun Xiaofeng Chen Ye Pan Yi 《Natural Gas Industry B》 2018年第3期253-260,共8页
When gas invasion,especially overflow,occurs at the bottom hole in the process of managed pressure drilling(MPD),it is common to apply backpressure on the wellbore by adjusting the backpressure pump and throttle valve... When gas invasion,especially overflow,occurs at the bottom hole in the process of managed pressure drilling(MPD),it is common to apply backpressure on the wellbore by adjusting the backpressure pump and throttle valve,so as to rebuild bottom hole pressure balance.If it is still thought that the wellhead backpressure is loaded to the bottom hole instantaneously,there will be larger errors between the calculated wellbore parameters and the actual wellbore flow parameters,which will result in well control failure and even well blowout.In this paper,a pressure wave propagation equation suitable for the gaseliquid two-phase flow in the annulus was established based on the global averaged gaseliquid two-phase flow model to investigate the propagation velocity and time of backpressure wave in the wellbore.Then,gaseliquid interaction was introduced to carry out coupling solution on the equation set.It is shown that pressure wave velocity increases with the increase of drilling mud density,but decreases with the increase of void fraction and virtual mass force coefficient.It changes drastically at first,and then slows down.What's more,when the void fraction is greater than 0.1 or the virtual mass force coefficient exceeds 0.2,the momentum between gas phase and liquid phase is fully exchanged,and the pressure wave velocity decreases slowly,approaching a stable value.In Well Penglai 9 in the Sichuan Basin,for example,the average time of single pressure wave propagation is about 50 s,and the total propagation time of 4 rounds is about 200 s,which accounts for more than 67%of the total time of system control response.It is indicated that the propagation velocity and time of the pressure wave in the annulus calculated by this method can greatly improve the accuracy of managed pressure response time of MPD drilling system and the control precision of adaptive throttle valve. 展开更多
关键词 Managed pressure drilling(MPD) Gas invasion Gaseliquid two-phase flow model Virtual mass force coefficient Gaseliquid two-phase flow Pressure wave propagation equation Pressure wave velocity Managed response time
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基于Kelvin介质的粘弹性波动方程数值模拟 认领 引用
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作者 冉雨 《黑龙江科学》 2026年第10期32-34,39,共3页
为提高粘弹性地震波场数值模拟的精度与效率,将最优近似解析离散化(ONADM)方法推广至基于Kelvin介质的粘弹性波动方程求解。通过引入速度场将原二阶波动方程转化为等价的方程组,避免对时空混合偏导的直接离散。推导了适用于等价方程组的... 为提高粘弹性地震波场数值模拟的精度与效率,将最优近似解析离散化(ONADM)方法推广至基于Kelvin介质的粘弹性波动方程求解。通过引入速度场将原二阶波动方程转化为等价的方程组,避免对时空混合偏导的直接离散。推导了适用于等价方程组的ONADM离散格式,并理论分析了其数值稳定性,给出了依赖于品质因子的稳定性条件。通过均匀介质与水平层状介质的数值实验验证了所提方法的有效性。数值结果表明,ONADM方法在较大网格步长下仍能有效压制数值频散,精确模拟粘弹性介质中的波场传播、衰减及层间反射/透射等现象,且能与CPML边界条件良好结合,吸收虚假反射。 展开更多
关键词 Kelvin介质 粘弹性波动方程 ONADM方法 稳定性 数值模拟
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Propagation of a strong cylindrical shock wave in a rotational axisymmetric dusty gas with exponentially varying density 认领 引用
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作者 Gorakh Nath 《Research in Astronomy and Astrophysics》 SCIE CAS 2010年第5期445-460,共16页
Non-similarity solutions are obtained for one-dimensional isothermal and adiabatic flow behind strong cylindrical shock wave propagation in a rotational ax-isymmetric dusty gas, which has a variable azimuthal and axia... Non-similarity solutions are obtained for one-dimensional isothermal and adiabatic flow behind strong cylindrical shock wave propagation in a rotational ax-isymmetric dusty gas, which has a variable azimuthal and axial fluid velocity. The dusty gas is assumed to be a mixture of small solid particles and perfect gas. The equi-librium flow conditions are assumed to be maintained, and the density of the mixture is assumed to be varying and obeying an exponential law. The fluid velocities in the ambient medium are assumed to obey exponential laws. The shock wave moves with variable velocity. The effects of variation of the mass concentration of solid particles in the mixture, and the ratio of the density of solid particles to the initial density of the gas on the flow variables in the region behind the shock are investigated at given times. Also, a comparison between the solutions in the cases of isothermal and adia-batic flows is made. 展开更多
关键词 shock wave equation of state stars: rotation radiative transfer interplanetary medium
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Theoretical Study of Electromagnetic Wave Propagation: Gaussian Bean Method 认领 引用 被引量:2
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作者 E. I. Ugwu J. E. Ekpe +1 位作者 E. Nnaji E. H. Uguru 《Applied Mathematics》 2013年第10期1466-1470,共5页
In this work, we present the study of electromagnetic wave propagation through a medium with a variable dielectric function using the concept of Gaussian Beam. First of all, we start with wave equation with which we o... In this work, we present the study of electromagnetic wave propagation through a medium with a variable dielectric function using the concept of Gaussian Beam. First of all, we start with wave equation with which we obtain the solution in terms of the electric field and intensity distributions approximate to Gaussian Function, . With this, we analyze the dependency of r on Gaussian beam distribution spread, the distant from the axis at which the intensity of the beam distribution begins to fall at a given estimate of its peak value. The influence of the optimum beam waist wo and the beam spread on the intensity distribution will also be analyzed. 展开更多
关键词 Electromagnetic Wave Wave Equation Dielectric Medium Distribution Gaussian Function Intensity Electric Field Beam Waist Wave Propagation
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基于空间分数阶导数的强-弱非局部连续介质本构建模 认领 引用 被引量:1
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作者 方俊 吴一石 《应用数学和力学》 CSCD 北大核心 2025年第6期764-780,共17页
研究了以空间分数阶导数为基础的非局部介质本构建模方法,为研究复杂非局部材料的力学性能提供了理论指导.首先,通过扩展Chen⁃Holm分数阶Laplace算子的定义,得到了新型0~4阶空间分数阶导数算子.然后,基于强⁃弱非局部连续介质理论,建立... 研究了以空间分数阶导数为基础的非局部介质本构建模方法,为研究复杂非局部材料的力学性能提供了理论指导.首先,通过扩展Chen⁃Holm分数阶Laplace算子的定义,得到了新型0~4阶空间分数阶导数算子.然后,基于强⁃弱非局部连续介质理论,建立了含该算子的非局部介质本构关系,并以此构建了新的力学元件.通过对力学元件的不同组合,可以得到几类非局部分数阶导数本构模型:Kelvin模型、Maxwell模型和Zener模型.此后,基于散射波方程与介质本构方程之间的关联性,确定了模型各参数的表达式及物理意义,并研究了部分模型的蠕变和应力松弛.最后,通过含砂软土蠕变的实例研究,验证了非局部Kelvin模型的有效性. 展开更多
关键词 分数阶导数 非局部介质 本构建模 散射波方程 蠕变柔量
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双相介质波动方程系数矩阵对称化及其SBP-SAT差分模拟 认领 引用
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作者 孙铖 刘泰玉 +2 位作者 蒋关希曦 张剑伟 杨在林 《振动与冲击》 EI CSCD 北大核心 2025年第16期108-118,共11页
波动方程系数矩阵对称化是整合不同类别波动方程、降低波传播模拟难度的有效方法,目前已成功应用于声波方程、各向同性与各向异性介质弹性波动方程。该研究将推导出双项介质波动方程的系数矩阵对称式;随后,引入多轴完全匹配层,采用迎风... 波动方程系数矩阵对称化是整合不同类别波动方程、降低波传播模拟难度的有效方法,目前已成功应用于声波方程、各向同性与各向异性介质弹性波动方程。该研究将推导出双项介质波动方程的系数矩阵对称式;随后,引入多轴完全匹配层,采用迎风格式分部求和-一致逼近项(summation by parts-simultaneous approximation terms,SBP-SAT)有限差分方法离散波动方程,并通过能量法进行稳定性评估。通过数值仿真,表明所提出的离散框架具有整合度高,稳定性好和拓展性强等特点。此外,该方法可以稳定模拟曲线域中的波传播并降低其实现成本,表明了波动方程系数矩阵对称化方法及其离散框架在波传播模拟领域具有广泛的应用前景。 展开更多
关键词 双相介质波动方程 系数矩阵对称式 分部求和-一致逼近项(SBP-SAT) 有限差分方法 能量法
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3-D DYNAMIC RESPONSE OF TRANSVERSELY ISOTROPIC SATURATED SOILS 认领 引用 被引量:4
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作者 王小岗 黄义 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2005年第11期1409-1419,共11页
A study on dynamic response of transversely isotropic saturated poroelastic media under a circular non-axisymmetrical harmonic source has been presented by Huang Yi et al. using the technique of Fourier expansion and ... A study on dynamic response of transversely isotropic saturated poroelastic media under a circular non-axisymmetrical harmonic source has been presented by Huang Yi et al. using the technique of Fourier expansion and Hankel transform. However, the method may not always be valid. The work is extended to the general case being in the rectangular coordinate. The purpose is to study the 3-d dynamic response of transversely isotropic saturated soils under a general source distributing in arbitrary rectangular zoon on the medium surface. Based on Biot's theory for fluid- saturated porous media, the 3-d wave motion equations in rectangular coordinate for transversely isotropic saturated poroelastic media were transformed into the two uncoupling governing differential equations of 6-order and 2-order respectively by means of the displacement functions. Then, using the technique of double Fourier transform, the governing differential equations were easily solved. Integral solutions of soil skeleton displacements and pore pressure as well as the total stresses for poroelastic media were obtained. Furthermore, a systematic study on half-space problem in saturated soils was performed. Integral solutions for surface displacements under the general harmonic source distributing on arbitrary surface zone, considering both case of drained surface and undrained surface, were presented. 展开更多
关键词 Blot's wave equation transversely isotropic saturated poroelastic medium half-space harmonic response double Fourier transform
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基于GSLS模型TI介质衰减拟声波方程 认领 引用 被引量:6
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作者 徐文才 杨国权 +2 位作者 李振春 孙小东 王姣 《地球物理学报》 SCIE EI CAS CSCD 北大核心 2016年第6期2232-2244,共13页
随着计算机硬件技术的发展以及高分辨率勘探需求的增加,我们希望能够更准确地模拟地下介质,得到更丰富的地层信息.然而,传统的声学假设并不能描述实际地层所存在各向异性和黏滞性,使得成像分辨率较低.为了实现深部储层的高精度成像,本... 随着计算机硬件技术的发展以及高分辨率勘探需求的增加,我们希望能够更准确地模拟地下介质,得到更丰富的地层信息.然而,传统的声学假设并不能描述实际地层所存在各向异性和黏滞性,使得成像分辨率较低.为了实现深部储层的高精度成像,本文同时考虑了介质的各向异性和黏滞性,从TI介质弹性波的基本理论出发,结合各向异性GSLS理论,并通过声学近似方法导出基于GSLS模型的各向异性衰减拟声波方程.数值模拟表明该方程既能准确地描述各向异性介质下的准P波运动学规律,又能体现地层的吸收衰减效应;模型逆时偏移结果表明,在实现成像过程中考虑各向异性和黏滞性的影响,能对高陡构造清晰成像,且剖面振幅相对均衡,分辨率较高. 展开更多
关键词 各向异性介质 声学近似 速度-应力方程 拟声波方程
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简化的三维TTI介质黏滞纯声波方程及其数值模拟 认领 引用 被引量:9
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作者 徐世刚 包乾宗 任志明 《石油地球物理勘探》 EI CSCD 北大核心 2022年第2期331-341,I0004,共11页
地球介质普遍具有非弹性和各向异性特征,因此在研究地震波在地下空间传播时应该同时考虑各向异性和黏滞性。在各向异性介质波场模拟、偏移成像和波形反演中,目前主要采用的是伪声波方程,该类方程是在直接将横波速度设置为0的基础上发展... 地球介质普遍具有非弹性和各向异性特征,因此在研究地震波在地下空间传播时应该同时考虑各向异性和黏滞性。在各向异性介质波场模拟、偏移成像和波形反演中,目前主要采用的是伪声波方程,该类方程是在直接将横波速度设置为0的基础上发展的,当介质参数不满足假设条件时容易产生伪横波数值干扰及模拟不稳定。考虑到伪声波方程存在的问题,文中应用泊松算子和有限差分相结合的策略求解高精度的三维TTI介质纯声波方程。同时,考虑到衰减介质对地震波振幅和相位的影响,在各向同性黏滞声波方程的基础上,推导了一种简化的三维TTI介质黏滞纯声波方程,该方程能够模拟纯声波的相位畸变和振幅衰减。应用三维层状模型、TTI楔状体模型和改进的Marmousi模型验证了方法的有效性和适用性。 展开更多
关键词 各向异性 衰减介质 波动方程 纯声波 数值模拟
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