摘要
提出在微分方程反问题的数值解法中可由一种反问题补充条件同时反求两个未知参数的观点和方法，并以一维波动方程为例推导了震源和岩性联合反演的详细算法。从概念上突破了传统的一种补充条件只能解一个未知数的反演理论的约束，解决了地震勘探中波动方程反问题的震源未知或测不准的矛盾，缩短了反演理论研究与工程实际应用间的距离。
A two parameter numerical inverse method of differential equation with only one complementary condition is presented.According to this principle a simultaneous inverse algorithm of lithology parameter and seismic source function of one dimensional wave equation is given in detail.Theoretical analysis and numerical examples demonstrate the existence of solution,stability and accuracy of the method.The method provides a suitable way to solve the difficulty of unknown source function in practical seismic exploration.The numerical results show the feasibility of the algorithm.
出处
《计算物理》
CSCD
北大核心
1997年第2期129-135,共7页
Chinese Journal of Computational Physics
关键词
波动方程
双参数
联合反演
Wave equation
Two parameter
simultaneous inversion.
