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我们研究了一种质点速度-应力有限差分法来模拟波在二维均匀孔隙弹性介质中的传播。此外未采用流行的二阶微分方程,而是采用了一种与Biot方程等价的一阶双曲系统。该系统中的未知矢量包括:固体和流体质点速度分量、固体应力分量以及流体压力。空间为四阶,时间为二阶的精确的MaCormack有限一差分方法用来求解Biot双曲线系统的数值解。我们导出了均匀孔隙弹性介质的P波线源的原始解析
We studied a particle velocity-stress finite difference method to simulate the propagation of waves in a two-dimensional, uniform pore-elastic medium. Instead of the popular second-order differential equations, a first-order hyperbolic system equivalent to the Biot equation is used. The unknown vectors in this system include: solid and fluid particle velocity components, solid stress components, and fluid pressure. An exact MaCormack finite difference method with space 4 and time 2 is used to solve the numerical solution of the Biot hyperbolic system. We derive the original analysis of a P-wave source for a uniform pore elastic medium