大地电磁二维对称各向异性介质的有限元数值模拟   总被引：5，自引：0，他引：5       下载免费PDF全文

杨长福 《地震工程学报》1997,19(2):27-33

假定垂直轴为二维对称各向异性介质主轴之一，构造走向与另一主轴方向成任一夹角，用伽勒金（Ｇａｌｅｒｋｉｎ）有限元法和矩形网格，优化地合成总体刚度矩阵，使二维各向异性介质的基本方程形成有限元代数方程组，求出各节点场值，并利用ＭＯＭ法求出辅助场，进而求出张量阻抗等响应函数．同时还对有关文献的计算模型进行了数值模拟检验  相似文献   

Mechanical transitional behavior of binary mixtures via DEM: Effect of differences in contact-type friction coefficients     

《Computers and Geotechnics》2017

This report presents a numerical investigation of the shear behavior of binary mixtures via a two-dimensional discrete element method. The effect of the coarse particle content on the peak shear strength of mixtures is investigated for different contact-type friction coefficients. A detailed analysis on the anisotropies enables us to understand the microscopic mechanisms that result in the dependency of the peak shear strengths on the coarse particle content. The contributions of different contact types to the peak shear strength are quantified. Lastly, the inter-particles structures are examined when the binary mixtures become coarse-particle-supported structures.  相似文献   

Thermal bending of thin, anisotropic, clamped elliptic plates     

P.A.A Laura  C.A Rossit 《Ocean Engineering》1998,26(5):485-488

The present note deals with the exact analytical solution of thermal bending of clamped, anisotropic, elliptic plates in the case where the thermal field is given by an expression of the type T(x,y,z)=z(Ax²+Cxy+By²).The problem is of basic interest in some ocean and mechanical structural systems since anisotropic materials are commonly used in those fields. Obviously the case of an orthotropic material constitutes a particular situation of the problem under study.  相似文献   

强地震附近视电阻率各向异性变化的原因   总被引：23，自引：2，他引：21       下载免费PDF全文

杜学彬  李宁  叶青  马占虎  闫睿 《地球物理学报》2007,50(6):1802-1810

讨论了强地震、孕震晚期阶段、震源区及附近介质的物理变化过程,证明了视电阻率变化最显著的方向与最大加载方向之间的正交关系,建立了真、视电阻率各向异性变化与裂隙率ν、骨架电阻率ρ_o、饱水裂隙电阻率ρ_f的本构关系,解释了视电阻率各向异性变化的原因.研究认为：在强地震孕震晚期阶段,在震源区及附近地壳近地表的较深部,介质微裂隙发育,其走向沿最大主压应力方位优势取向,低阻水充填微裂隙,导电通道连通,引起最大主压应力方向真电阻率变化最显著的真各向异性变化,从而产生垂直主压应力方向视电阻率变化最显著的视各向异性变化,低阻水在其物理过程中起了显著作用.  相似文献   

Wave propagation in a general anisotropic poroelastic medium: Biot’s theories and homogenisation theory     

M. D. Sharma 《Journal of Earth System Science》2007,116(4):357-367

Anisotropic wave propagation is studied in a fluid-saturated porous medium, using two different approaches. One is the dynamic approach of Biot’s theories. The other approach known as homogenisation theory, is based on the averaging process to derive macroscopic equations from the microscopic equations of motion. The medium considered is a general anisotropic poroelastic (APE) solid with a viscous fluid saturating its pores of anisotropic permeability. The wave propagation phenomenon in a saturated porous medium is explained through two relations. One defines modified Christoffel equations for the propagation of plane harmonic waves in the medium. The other defines a matrix to relate the relative displacement of fluid particles to the displacement of solid particles. The modified Christoffel equations are solved further to get a quartic equation whose roots represent complex velocities of the four attenuating quasi-waves in the medium. These complex velocities define the phase velocities of propagation and quality factors for attenuation of all the quasi-waves propagating along a given phase direction in three-dimensional space. The derivations in the mathematical models from different theories are compared in order to work out the equivalence between them. The variations of phase velocities and attenuation factors with the direction of phase propagation are computed, for a realistic numerical model. Differences between the velocities and attenuations of quasi-waves from the two approaches are exhibited numerically.  相似文献   

各向异性弹性波有限元叠前逆时偏移   总被引：26，自引：10，他引：26       下载免费PDF全文

张美根  王妙月 《地球物理学报》2001,44(5):711-719

利用有限元法和最小走时射线追踪的界面点法，实现了各向异性弹性波的叠前逆时偏移.理论模型资料的偏移结果清晰准确，证实了该系统的可靠性.通过对各向异性模型资料的各向同性偏移处理，发现常规偏移剖面存在较大误差，地质体的垂向深度和横向位置与实际模型有偏离.  相似文献   

Convective stability analysis of the long-term storage of carbon dioxide in deep saline aquifers     

Xiaofeng Xu  Shiyi Chen  Dongxiao Zhang 《Advances in water resources》2006

Deep saline aquifers are one of the most suitable geologic formations for carbon sequestration. The linear and global stability analysis of the time-dependent density-driven convection in deep saline aquifers is presented for long-term storage of carbon dioxide (CO₂). The convective mixing that can greatly accelerate the CO₂ dissolution into saline aquifers arises because the density of brine increases upon the dissolution of CO₂ and such a density difference may induce instability. The effects of anisotropic permeability on the stability criteria, such as the critical time for the appearance of convective phenomena and the critical wavelength of the most unstable perturbation, are investigated with linear and global stability analysis. The linear stability analysis provides a sufficient condition for instability while the global stability analysis yields a sufficient condition for stability. The results obtained from these two approaches are not exactly the same but show a consistent trend, both indicating that the anisotropic system becomes more unstable when either the vertical or horizontal permeability increases.  相似文献   

General absorbing boundary conditions for dynamic analysis of fluid-saturated porous media     

T. Akiyoshi  X. Sun  K. Fuchida 《Soil Dynamics and Earthquake Engineering》1998,17(6):397-406

General absorbing boundary conditions based on Biot's two-phase mixture theory and paraxial approximation is presented for the dynamic analysis of fluid-saturated porous media with isotropic, transverse isotropic, and anisotropic properties. For the last two cases, the equivalent Lame's constants, under conditions of uniqueness, are introduced to facilitate the analytical solutions. The numerical results show that the proposed absorbing boundary can greatly suppress spuriously reflected waves and efficiently model the far field of the system with sufficient accuracy.  相似文献   

Reverse time migration with Gaussian beams using optimized ray tracing systems in transversely isotropic media     

Qiang Liu  Zhen-Chun Li  Jian-En Xiao  Xue-Cheng Xu 《Geophysical Prospecting》2022,70(1):95-107

Prestack depth migration is a key technology for imaging complex reservoirs in media with strong lateral velocity variations. Prestack migrations are broadly separated into ray-based and wave-equation-based methods. Because of its efficiency and flexibility, ray-based Kirchhoff migration is popular in the industry. However, it has difficulties in dealing with the multi-arrivals, caustics and shadow zones. On the other hand, wave-equation-based methods produce images superior to that of the ray-based methods, but they are expensive numerically, especially methods based on two-way propagators in imaging large regions. Therefore, reverse time migration algorithms with Gaussian beams have recently been proposed to reduce the cost, as they combine the high computational efficiency of Gaussian beam migration and the high accuracy of reverse time migration. However, this method was based on the assumption that the subsurface is isotropic. As the acquired azimuth and maximum offsets increase, taking into account the influence of anisotropy on seismic migration is becoming more and more crucial. Using anisotropic ray tracing systems in terms of phase velocity, we proposed an anisotropic reverse time migration using the Gaussian beams method. We consider the influence of anisotropy on the propagation direction and calculate the amplitude of Gaussian beams with optimized correlation coefficients in dynamic ray tracing, which simplifies the calculations and improves the applicability of the proposed method. Numerical tests on anisotropic models demonstrate the efficiency and accuracy of the proposed method, which can be used to image complex structures in the presence of anisotropy in the overburden.  相似文献   

Radiative Heat Transfer and Hydrostatic Stability in Nocturnal Fog   总被引：1，自引：0，他引：1  

Toru Nishikawa  Shigenao Maruyama  Seigo Sakai 《Boundary-Layer Meteorology》2004,113(2):273-286

We have performed a one-dimensional and transient radiative heat transfer analysis in order to investigate interaction between atmospheric radiation and convective instability within a nocturnal fog. The radiation element method using the Ray Emission Model (REM²), which is a generalized numerical method, in conjunction with a line-by-line (LBL) method, is employed to attain high spectral resolution calculations for anisotropically scattering fog. The results show that the convective instability has a strong dependence on radiative properties of the fog. For the condition of a 20-m droplet diameter and liquid water content of 0.1 × 10^–3 kg m^–3;, the temperature profile within the fog becomes S shaped, and a convective instability layer forms in the middle or lower level of the fog. However, for the same water content and a 40-m diameter droplet, no strong convective instability layer forms, whereas for a 10-m diameter droplet a strong convective instability is observed.  相似文献