We present a discrete representation of strongly heterogeneous poroelastic medium with the JKD-model of the frequency-dependent permeability and resistive friction, and the corresponding finite-difference scheme for numerical modelling of seismic wave propagation and earthquake ground motion in structurally complex media. The scheme is capable of sub-cell resolution, that is, allows for an arbitrary shape and position of an interface in the spatial grid. The medium can have either a zero resistive friction or non-zero constant resistive friction or JKD frequency-dependent resistive friction. The scheme has the same computational efficiency as the scheme for a smoothly and weakly heterogeneous medium (medium without material interfaces) because the number of operations for updating wavefield is the same. Several comparisons with a semi-analytical approach proves the efficiency and reliability of the subcell-resolution finite-difference scheme. An illustrative example demonstrates differences between earthquake ground motion in the Biot's and JKD variants of the model of the surface sedimentary basin. The example indicates that it is desirable to perform an extensive parametric study in order to find out when it is necessary to apply relatively complicated and computationally more demanding JKD model and when much simpler Biot's model is sufficient.

中文翻译：

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Biot和JKD多孔弹性介质中地震波的子细胞分辨率有限差分建模

我们用频率依赖的渗透率和电阻摩擦的JKD模型，以及结构复杂介质中地震波传播和地震地面运动的数值建模的相应有限差分方案，给出了强异质多孔弹性介质的离散表示。该方案能够进行子小区分辨率，即允许在空间网格中接口的任意形状和位置。介质可以具有零电阻摩擦或非零恒定电阻摩擦或JKD频率相关的电阻摩擦。由于用于更新波场的操作次数相同，因此该方案的计算效率与用于光滑弱非均质介质（无材料界面的介质）的方案相同。通过半分析方法进行的几次比较证明了子像元分辨率有限差分方案的效率和可靠性。一个说明性的例子说明了地表沉积盆地模型的比奥和JKD变体在地震地面运动之间的差异。该示例表明，需要进行广泛的参数研究，以便找出何时有必要应用相对复杂且计算量更大的JKD模型，以及何时使用更简单的Biot模型。