摘要
本文在复频域内,通过应用混合变量粘弹性波方程和线性常微分方程组的指数矩阵解法,给出了一种计算非均匀吸收介质中地震波传播的广义传播矩阵解法。该方法适用于各种粘弹性模型,可模拟任意震源及所产生的各种体波、面波,数值结果表明具有很高的计算精度。
Numerical method for seismic wave propagation in laterally inhomogeneous attenuating medium is studied in complex frequency domain here. A generalized propagation matrix method for simulating seismic wave proragation in inhomogeneous attenuating medium is put forward by using mixed variable viscoelastic wave equations and matrix exponential solutions of system of linear ordinary differential equations. The method presented can apply to all kinds of viscoelastic model, by which arbitrary sources and various types of body waves and surface waves can be simulated. The numerical results show its good accuracy.
基金
辽宁省博士科研基金
辽宁省自然科学基金
关键词
地震波
非均匀介质
广义传播矩阵
viscoelastic
seismic wave/inhomogeneous media
generalized propagation matrix