In this chapter I introduce the theory behind the LSJIMP method. The chapter is
divided into three sections. In section I motivate the
LSJIMP inverse problem in general. In Section
, I go on
to outline my particular implementation of LSJIMP. In section
, I show how, in a laterally-homogeneous earth, to create
prestack time-domain images of pegleg multiples that are directly comparable,
both in terms of kinematics and amplitudes, to the image of the primaries. In a
heterogeneous earth, peglegs ``split'' into multiple arrivals. To account for
this phenonmenon, in section
I introduce the HEMNO
(Heterogeneous Earth NMO Operator) equation, which can independently image each
leg of split peglegs in a moderately heterogeneous earth.