Modeling seismic wave propagation in a coal-bearing porous medium by a staggered-grid finite difference method

Zou Guangui, Peng Suping, Yin Caiyun, Deng Xiaojuan, Chen Fengying, Xu Yanyong
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引用次数: 4

Abstract

A staggered-grid finite difference method is used to model seismic wave records in a coal bearing, porous medium. The variables analyzed include the order of the difference calculations, the use of a perfect match layer to provide absorbing boundary conditions, the source location, the stability conditions, and dispersion in the medium. The results show that the location of the first derivative of the dynamic variable with respect to space is coincident with the location of the first derivative of the kinematic variable with respect to time. Outgoing waves are effectively absorbed and reflection at the boundary is very weak when more than 20 perfect match layer cells are used. Biot theory considers the liquid phase to be homogeneous so the ratio of liquid to solid exposure of the seismic source depends upon the medium porosity. Numerical dispersion and generation of false frequencies is reduced by increasing the accuracy of the difference calculations and by reducing the grid size and time step. Temporal second order accuracy, a tenth order spatial accuracy, and a wavelength over more than ten grid points gave acceptable numerical results. Larger grid step sizes in the lateral direction and smaller grid sizes in the vertical direction allow control of dispersion when the medium is a low speed body. This provides a useful way to simulate seismic waves in a porous coal bearing medium.

用交错网格有限差分法模拟地震波在含煤多孔介质中的传播
用交错网格有限差分法模拟含煤多孔介质中的地震波记录。分析的变量包括差分计算的顺序、使用完美匹配层提供吸收边界条件、源位置、稳定性条件和介质中的色散。结果表明,动力变量的一阶导数相对于空间的位置与运动变量的一阶导数相对于时间的位置是一致的。当使用20个以上的完全匹配层单元时,输出波被有效吸收,边界反射很弱。生物理论认为液相是均匀的,因此震源的液固暴露比取决于介质孔隙度。通过提高差分计算的精度、减小网格尺寸和时间步长来减少数值色散和假频率的产生。时间二阶精度,十阶空间精度和超过十个网格点的波长给出了可接受的数值结果。当介质为低速体时,横向较大的栅格步长和垂直方向较小的栅格步长可以控制分散。这为模拟含煤多孔介质中的地震波提供了一种有用的方法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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