ELASTIC WAVEFIELD CALCULATION FOR HETEROGENEOUS ANISOTROPIC POROUS MEDIA USING THE 3-D IRREGULAR-GRI

来源 :Acta Mechanica Solida Sinica | 被引量 : 0次 | 上传用户:qiuzhizhedetiantang
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Basedonthe first-order Biot-equation with simplified coefficients,astaggered irregu-lar-grid finite difference method(FDM)is developed to simulate elastic wave propagation in 3-Dheterogeneous anisotropic porous media.The ‘slow’P wave in porous media wave simulation ishighly dispersive.Finer grids are needed to get a precise wavefield calculation for models withcurved interface and complex geometric structure.Fine grids in a global model greatly increasecomputation costs of regular grids scheme.Irregular fine or coarse grids in local fields not onlycost less computing time than the conventional velocity-stress FDM,but also give a more accu-rate wavefield description.A dispersion analysis of the irregular-grid finite difference operator hasconfirmed the stability and high efficiency.The absorbing boundary condition is used to elimi-nate artificial reflections.Numerical examples show that this new irregular-grid finite differencemethod is of higher performance than conventional methods using regular rectangular grids insimulating elastic wave propagation in heterogeneous anisotropic porous media. Basedonthe first-order Biot-equation with simplified coefficients, astaggered irregu-lar-grid finite difference method (FDM) is developed to simulate elastic wave propagation in 3-Dheterogeneous anisotropic porous media.The ’slow’P wave in porous media wave simulation is highly dispersive.Finer grids are needed to get a precise wavefield calculation for models with curved interface and complex geometric structure. Fine grids in a global model greatly increasecomputation costs of regular grids scheme. Irregular fine or coarse grids in local fields not only less than computing time than the A velocity analysis of the irregular-grid finite difference operator hasconfirmed the stability and high efficiency. The absorbing boundary condition is used to elimi-nate artificial reflections. Numerical examples show that this new irregular-grid finite differencemethod is of higher performance than conventional method s using regular rectangular grids insimulating elastic wave propagation in heterogeneous anisotropic porous media.
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