6. Part 6 - Sparse-Spike Inversion

Abstract

6.1 Introduction

The basic theory of maximum-likelihood deconvolution (MLD) was developed by Dr. Jerry Mendel and his associates at USC and has been well publicised, (Kormylo and Mendel, 1983; Chi et al, 1984). A paper by Hampson and Russell (1985) outlined a modification of maximum-likelihood Ueconvolution melthod which allowed the method to be more easily applied to real seismic data. One of the conclusions of that paper was that the method could be extended to use the sparse reflectivity as the first step of a broadband seismic inversion technique. This technique, which will be termed maximum-likelihood seismic inversion, is discussed later in these notes.