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以往的波场数值模拟技术多为二维数值模拟,二维数值模拟难以从三维空间反映波场的分布特性。基于BISQ模型弹性波的本构方程和运动方程,推导出了双相孔隙介质中弹性波的三维空间交错网格高阶有限差分算法,并进行了三维数值模拟,形成三维成果图。可以看出三维数值模拟能够在三维空间从不同视角观测不同平面内的波场快照,能更好地反映波场的空间及传播特性。
In the past, the numerical simulation of wave field is mostly two-dimensional numerical simulation, and it is difficult for two-dimensional numerical simulation to reflect the distribution of wave field in three-dimensional space. Based on the constitutive equations and equations of motion of the BISQ model elastic wave, a high-order finite difference finite-difference algorithm for three-dimensional space staggered-grid of elastic waves in two-phase porous media is deduced and three-dimensional numerical simulation is carried out. It can be seen that three-dimensional numerical simulation can observe wavefield snapshots in different planes from different perspectives in three-dimensional space, which can better reflect the spatial and propagation characteristics of the wavefield.