摘要
Biot-flow and squirt-flow are the two most important fluid flow mechanisms in porous media containing fluids. Based on the BISQ （Biot-Squirt） model where the two mechanisms are treated simultaneously, the elastic wave-field simulation in the porous medium is limited to two-dimensions and two-components （2D2C） or two-dimensions and three-components （2D3C）. There is no previous report on wave simulation in three- dimensions and three-components. Only through three dimensional numerical simulations can we have an overall understanding of wave field coupling relations and the spatial distribution characteristics between the solid and fluid phases in the dual-phase anisotropic medium. In this paper, based on the BISQ equation, we present elastic wave propagation in a three dimensional dual-phase anisotropic medium simulated by the staggered-grid high-order finite-difference method. We analyze the resulting wave fields and show that the results are an improvement.
Biot流动和喷射流动是含流体多孔隙介质中流体流动的两种重要力学机制。近年来利用同时处理这两种力学机制的BISQ(Biot-Squirt)模型,进行波场数值模拟只限于二维二分量或二维三分量情况,三维三分量的波场模拟尚未见报道。然而,只有三维模拟,才能全面认识双相各向异性介质中固相和流相弹性波场的耦合关系和空间分布特征。本文从BISQ模型的波动方程出发,采用交错网格高阶有限差分方法对三维双相各向异性介质的弹性波传播进行了数值模拟和波场分析,得到了较好的结果。
基金
National Natural Science Foundation (Project number 40604013).
