两相饱和介质的弹性位错震源矢量与静态位移场

根据两相饱和介质Biot理论，利用函数与Green函数性质，求得集中力点源作用下的Green函数．通过两相饱和介质场中的Betti定理，对两相饱和介质的弹性位错震源矢量与静态位移场作了全面的探讨．      

两相饱和介质半无限空间位错位移场

弹性位错理论是研究地震震源正演和反演的重要工具之一. 单相介质位错理论求得的地面变形场是稳定的、不变的，而实际地震后的地面变形场是变化的. 本文利用集中力作用下无限空间中两相饱和介质Green函数的柱函数表达式，通过弹性运动方程积分解的Helmholtz方程的Hansen矢量变换，再叠加自由表面影响场的方法求得两相饱和介质半无限空间位错位移场. 本文结果结合Nur的DD模式，在进水排水的假说下能解释地震后地面变形场的变化.     

两相饱和介质中的集中力点源位移场解与应用

通过两相饱和介质Ｂｉｏｔ方程变换,利用势场分解较好地解决了饱和两相介质中Ｐ１和Ｐ２波的耦合问题．再由Ｐｏｉｓｓｏｎ方程和Ｈｅｌｍｈｏｔｚ方程的特性,求解得到两相饱和介质在集中力点源作用下的位移场Ｇｒｅｅｎ函数,进而通过阶跃函数和Ｆｏｕｒｉｅｒ逆变换,求得两相介质在集中力．作用下的波场．由上述结果,根据扩容进水模型,合理地解释了孕震前各主要阶段在地震记录中垂直向振幅与振幅比统计值的变化．最后结合工作实例,利用两相介质波场理论求得由一般弹性介质理论不易求得的骨架固体力学参数．     

两相饱和介质中的集中力点源Green函数

通过对两相饱和介质 Ｂｉｏｔ 方程的变换,利用 Ｐｏｉｓｓｏｎ 方程和 Ｈｅｌｍ ｈｏｌｔｚ 方程性质,求解得到两相饱和介质在集中力点源作用下的位移场 Ｇｒｅｅｎ 函数     

基于BISQ模型的双相介质位移场Green函数

以BISQ模型的波传播方程为基础,研究了弹性波在孔隙各向 同性介质中的传播速度及与流体的Biot流动和喷射流动力学机制的关系,进一步利用场势分 解和δ函数的性质,给出了同时受Biot流动和喷射流动两种动力学机制作用下,两相介 质波场位移在集中力作用下的Green函数,并讨论了喷射流动在Green函数中的表现形式和作用     

饱和土中平面应变波在圆柱体上的散射和折射

采用修改的Biot波动方程,考虑土颗粒压缩和固液两相的粘滞作用,推导出饱和土中平面应变波在圆柱体上的散射和折射问题的理论解答;并求出当圆柱体为空腔、刚性体、单相土介质和流体介质时散射和折射的势函数幅值方程．      

淤积泥砂对水平地运动作用时刚性坝面动压力的影响

文章基于固体介质，流体介质，液固两相饱和介质的时域显示有限元波动分析方法，研究了可压缩库水条件下淤积泥砂对水平地运动作用时刚性坝面上动压力的影响，研究中分析了作为两相介质处理的淤积泥砂的饱和度、厚度、渗透系数和孔隙率对坝面动压力的影响，还比较了作为流程两相介质，单相固体介质、单相重流体介质处理的不同淤积泥砂层模型间的计算结果差异。     

饱和层状场地中任意凹陷地形对入射SV波的散射

利用饱和土层的精确动力刚度矩阵和动力格林(Green)函数,采用间接边界元法,在频域内求解了层状饱和场地中任意凹陷地形对入射SV波的散射问题.通过自由场反应分析,求得凹陷地形表面各点的位移和各单元的应力响应;同样计算了虚拟分布荷载的格林影响函数,求得相应的位移和应力响应;根据边界条件确定虚拟分布荷载,将自由场位移响应和...     

流体饱和多孔隙介质弹性波方程边界元解法研究

基于流体饱和多孔隙各向同性介质模型,本文首先推导了流体饱和多孔隙介质中弹性波传播的频率域系统动力方程及边界积分方程,然后给出了流体饱和多孔隙介质弹性波方程的基本解,最后,利用本文给出的边界元方法对流体饱和多孔隙各向同性介质中的弹性波传播进行了数值模拟.结果表明：不论是从固相位移,还是液相位移的地震合成记录都能看到明显的慢速P波,本文提出的流体饱和多孔隙介质弹性波边界元法是有效可行的.     

具有饱和土沉积层的充水河谷对平面波的散射

把波函数展开方法用于地震波散射问题的研究中,首次在频域内给出了具有饱和土沉积层的圆弧形充水河谷对平面P波和SV散射问题的解析解答. 其中半空间场地用单相介质弹性动力理论模拟,河谷中的饱和土沉积层用饱和多孔介质的Biot动力学理论模拟,河谷中的水用无黏性流体(理想流体)介质模拟. 文中还给出算例,计算了不同高宽比的河谷谷底的位移幅值,分析表明河谷地形的存在使得半空间介质表面的位移幅值随着观察点位置的变化变化较大.     

Solution of a Green’s function for a saturated porous medium in a half-space subjected to a torsional force

Based on the solutions of the Green’s function for a saturated porous medium obtained by the authors,and using transformation of axisymmetric coordinates,Sommerfeld integrals and superposition of the influence field on a free surface,the authors have obtained displacement solutions of a saturated porous medium subjected to a torsional force in a half-space.The relationship curves of the displacement solutions and various parameters(permeability,frequency,etc.)under action of a unit of torque are also given in this paper.The results are consistent with previous Reissner’s solutions,where a two-phase medium decays to a single-phase medium.The solution is useful in solving relevant dynamic problems of a twophase saturated medium in engineering.     

The source vector and static displacement field by elastic dislocation on the two-phase saturated medium

IntroductionSince Steketee introduced the elastic dislocation theory into geophysics in 1958, it has become an important part of seismology. Because the fracture of fault can be treated as a displacement bound, the elastic displacement field (forward problem) can be studied by the static elastic dislocation theory under some given condition. Vice versa, if the static displacement field is known, the cause (inverse problem) can be inferred by the dislocation theory. In the last 40 years, many …     

The Green''''s function of the harmonic horizontal force applied at the interior of the saturated half-space soil

IntroductionThe wave propagation problems in saturated soil are very important for the civil engineering, geophysics and seismology. Biot (1956,1962) established the theory of wave propagation in saturated soil firstly, and hereafter many researchers have used Biot theory to study wave propagation problems in saturated soil. By using integral transform and potential function method, Philippacopoulos (1988) studied the Lamb(s problem of a vertical point force applied to the surface of saturate…     

半空间饱和土在内部简谐水平力作用下的Ge函数

根据积分变换方法得出了半空间内部作用简谐水平力时的Gree函数．首先，利用Hankel积分变换方法，直接对频域内的Biot波动方程进行求解，得出Biot波动方程的通解；利用通解和半空间内部作用水平力时边界上的边界条件，以及力作用面上的连续性条件，可以得出上述边值问题的解；对于边值问题在变换域内的解进行相应的逆变换，就可以得出频域内的Gree函数．本文得到的线弹性退化解与文献中的结果吻合．最后，文中给出了两个算例．      

Exact solutions to radially symmetric two-phase flow for an arbitrary diffusivity

Over the past decade there have been a variety of exact solutions developed for one-dimensional two-phase flow, however when higher dimensions are considered there is a distinct scarcity of solutions. In this paper we consider the problem of radially symmetric two-phase flow, into an infinite medium of uniform initial saturation, subject to a constant flux V from a line source at the origin. We show that in the absence of gravity and when the two-phase diffusivity D is related to the fraction flow function f by βD = V df/dθ, where θ is the water content and β is a constant of proportionality, a new class of exact solutions can be found. In particular, when β = 2, we show that the solution is given by a simple quadrature for arbitrary D, and is fully integrable for specific functional forms of D. It has been shown by Weeks et al. [Weeks SW, Sander GC, Parlange J-Y. n-Dimensional first integral and similarity solutions for two-phase flow. ANZIAM J 2003;44:365–80] that when D obeys the above relation, a saturated zone does not grow around the line of injection, consequently we find for β = 1, the flow equation maps to one-dimensional single-phase flow under a saturated boundary condition. Consequently solutions developed for one-dimensional single-phase flow (exact or approximate) apply to radially symmetric two-phase flow. Solutions for β = 1 or 2 can be derived for either a wetting fluid displacing a non-wetting fluid, or a non-wetting fluid displacing a wetting fluid, however for arbitrary β numerical methods are required.     

Scattering and refracting of plane strain wave by a cylindrical inclusion in fluid-saturated soils

The problems involving scattering and refracting of plane strain wave by a cylinder in fluid-saturated soils are studied in this paper. The theoretical solutions for the amplitudes of scattering and refracting are derived on the basis of modified Biot’s theory for two-phase medium in engineering, in which the compressibility of soil grains and the viscous coupling effect between the skeletal frame and the pore fluid are taken into account. Moreover, the amplitude equations of potential function are presented when the fluid-saturated soil cylindrical inclusion is degenerated into cylindrical cavity, rigid cylinder, single phase elastic cylinder and single phase fluid cylinder.     

基于改进BISQ机制的双相HTI介质波传播伪谱法模拟与特征分析

改进BISQ(Biot-Squirt)机制在不引入特征喷流长度的情况下,将含流体孔隙介质中Biot流动和喷射流动两种重要的力学机制有机地结合起来,且各相关参数具有明确物理意义和可实现性.本文将改进BISQ机制一维孔隙流体压力公式推广到三维具有水平对称轴横向各向同性介质(HTI介质)情况,结合裂缝各向异性理论,给出了基于改进BISQ机制的双相HTI介质模型及其二维三分量波传播方程,采用伪谱法求解该方程,进行了不同相界、不同频率以及双层地质结构情况下该类介质中波场的数值模拟与特征分析.数值模拟结果表明:伪谱法模拟精度高,压制网格频散效果好,可以得到高精度的波场快照和合成记录;基于改进BISQ机制的双相HTI介质模型兼具裂缝各向异性特征和孔隙弹性特征,其为从双相各向异性理论角度深入研究裂缝性储层的地震响应奠定了理论基础.     

二相介质饱和土中群桩动力阻抗分析

用流体饱和多孔介质材料描述土体，由饱和土和群桩及承台系统的位移协调条件和力平衡条件建立饱和土和群桩及承台系统动力相互作用的控制方程，分析饱和土中群桩动力阻抗。结果表明：孔隙流体对饱和土中桩基础动力阻抗有一定的影响；在饱和土具有不同的流体渗透系数时，饱和土中群桩动力阻抗也有一定差别。在地基上与基础结构动力相互作用研究中应该考虑地基土中孔隙流体的影响。     

二维非均匀饱和土体的地震反应分析

将饱和土体视为由弹性骨架和不可压缩流体组成的两相孔隙介质,取固相位移,液相位移,孔隙水压力为场变量。从两相孔介质的动力耦合微分方程出发,利用伽辽金原理和Ｗｉｌｓｏｎ－θ法导出了三场有限元积分方法,该方法可进行二维非均匀饱和土体的地震反应分析,文中通过算例讨论了非均匀饱和土体地震反应的一些特征。