双相介质和弹性介质混合模型的有限差分声波模拟

Finite difference modeling of acoustic wave in twophase and elastic media

实际的油气藏是由致密的盖层、基底(理想弹性介质)和储集层(含流体多孔介质)组成。本文给出了一种混合有限差分算法,用声波方程描述波在弹性介质中的传播特性,用 Biot 的 P波方程描述波在含流体多孔介质中的传播特征。数值模拟结果表明,该算法既能精确地描述实际油气藏中的波的传播特性,又能节省计算机内存和机时。

Real hydrocarbon trap is formed by reservoir(fluid saturated porous medi- um),compact overlying and underlying formations(ideal elastic media).A mixed finite difference method is given,which uses acoustic wave equation to de- scribe wave behaviour in an elastic medium,and adopts Biot's P wave equation to depict wave behaviour in fluid saturated porous medium.Numerical value modeling result says that this method not only depicts exactly the wave be- haviour in real hydrocarbon trap but also takes less internal storage and time of computer.