应用地球物理(英文版)
應用地毬物理(英文版)
응용지구물리(영문판)
APPLIED GEOPHYSICS
2005年
4期
216-222
,共7页
弹性波%完全匹配层%有限差分%数字模拟
彈性波%完全匹配層%有限差分%數字模擬
탄성파%완전필배층%유한차분%수자모의
finite-difference%numerical simulation%absorbing boundary condition%andperfectly matched layer
非裂化的完全匹配层(NPML)吸收边界条件首先用于有限差分方法模拟固体中弹性波的传播.本文将NPML加以推广用来模拟孔隙介质中弹性波传播.采用空间四阶精度和时间二阶精度中心差分将Biot方程离散化到交错网格.我们选取柱状双层模型来验证NPML有效性.并将NPML应用到储层环境下裸眼井模型,数值结果和离散波数法得到结果进行了对比,符合较好.
非裂化的完全匹配層(NPML)吸收邊界條件首先用于有限差分方法模擬固體中彈性波的傳播.本文將NPML加以推廣用來模擬孔隙介質中彈性波傳播.採用空間四階精度和時間二階精度中心差分將Biot方程離散化到交錯網格.我們選取柱狀雙層模型來驗證NPML有效性.併將NPML應用到儲層環境下裸眼井模型,數值結果和離散波數法得到結果進行瞭對比,符閤較好.
비열화적완전필배층(NPML)흡수변계조건수선용우유한차분방법모의고체중탄성파적전파.본문장NPML가이추엄용래모의공극개질중탄성파전파.채용공간사계정도화시간이계정도중심차분장Biot방정리산화도교착망격.아문선취주상쌍층모형래험증NPML유효성.병장NPML응용도저층배경하라안정모형,수치결과화리산파수법득도결과진행료대비,부합교호.
The nonsplitting perfectly matched layer (NPML) absorbing boundary condition (ABC) was first provided by Wang and Tang (2003) for the finite-difference simulation of elastic wave propagation in solids. In this paper, the method is developed to extend the NPML to simulating elastic wave propagation in poroelastic media. Biot's equations are discretized and approximated to a staggered-grid by applying a fourth-order accurate central difference in space and a second-order accurate central difference in time. A cylindrical twolayer seismic model and a borehole model are chosen to validate the effectiveness of the NPML. The results show that the numerical solutions agree well with the solutions of the discrete wavenumber (DW) method.