【摘要】 区域分解法是一种计算偏微分方程数值解的新方法。该法把研究区域分解为形态规则的小区域，在各子区域内采用最有效的计算方法求解，能充分发挥各种数值模拟方法的优点，提高求解正演问题的有效性。本文首次把区域分解法引入地震波场数值模拟，在均匀层状介质区域内采用解析法计算，在构造复杂区域采用数值方法计算。这充分发挥了解析法和数值方法的优点；从理论上证明了区域分解地震波场数值模拟算法的收敛性；编制了区域分解地震波场数值模拟软件，对大量理论模型进行了计算，获得了良好的结果。更多还原

【Abstract】 Sectional decomposition technique is a new one for calculating the numerical solution of partial differential equation. Having divided a whole section into many regular small subsections,we can make solution by using optimum method in each subsection, so that we can fully use the advantage of each numerical modeling method,and then improve forward solution.We introduce sectional-decomposition into numerical modeling of seismic wave field. Analytic method is used in uniformly-layered medium subsection,and numeri-cal method in complicated-structural subsection. As a result,we make full use of the advantages of analytic and numerical methods. Sectional-decomposition numerical modeling of seismic wave field has been proved to be convergent theoretically,and its software has been tested on many theoretical models to result in satisfactory re-sults.更多还原