摘要
若地震信号是子波和反射系数的褶积。则地震反演问题可化为如下的l_1模极小化形式:min f(γ)=||γ||1,S·t·Aγ=b,其中A∈R_m^(m×n),γ∈R^n,b∈R^m,它是一种新型的l_1模反褶积。本文中的五个定理给出了解此问题的算法的理论基础。通过选取不同的下降方向和不同的步长因子,组成了几个不同的解此问题的下降算法。文章介绍了这些算法的详细步骤。
Assuming that signal is the convolution of wavelet and reflection coefficient, then the seismic inverse problem can be turned into the following minimal expression of L1 norm :
min f(r )= ‖r‖
where A∈Rm(m×n) , r ∈Rn , b ∈ R m are the new type of L1 norm deconvolution. In the paper, the solution of this problem and its theoretical basis for performing the algorithm are given from the five theorems. And by selecting different step-down directions and differ ent steplength factors, a couple of different step-down operations for solving this problem are made up. The procedures of applying the algorithm are elaborated.
出处
《石油物探》
EI
CSCD
北大核心
1990年第3期85-97,共13页
Geophysical Prospecting For Petroleum
