The Application of the Nonsplitting Perfectly Matched Layer in Numerical Modeling of Wave Propagation in Poroelastic Media

完全匹配层在数值模拟孔隙介质声波传播中的应用(英文)

The nonsplitting perfectly matched layer （NPML） absorbing boundary condition （ABC） was first provided by Wang and Tang （2003） for the finite-difference simulation of elastic wave propagation in solids. In this paper, the method is developed to extend the NPML to simulating elastic wave propagation in poroelastic media. Biot＇s equations are discretized and approximated to a staggered-grid by applying a fourth-order accurate central difference in space and a second-order accurate central difference in time. A cylindrical twolayer seismic model and a borehole model are chosen to validate the effectiveness of the NPML. The results show that the numerical solutions agree well with the solutions of the discrete wavenumber （DW） method.

非裂化的完全匹配层(NPML)吸收边界条件首 先用于有限差分方法模拟固体中弹性波的传播。本 文将NPML加以推广用来模拟孔隙介质中弹性波传 播。采用空间四阶精度和时间二阶精度中心差分将 Biot方程离散化到交错网格。我们选取柱状双层模 型来验证NPML有效性。并将NPML应用到储层环 境下裸眼井模型,数值结果和离散波数法得到结果 进行了对比,符合较好。