Open AccessSolution of an n‐layer problem by a seismic reflection method
Author(s) -
Gassmann Fritz
Publication year - 1937
Publication title -
geophysical journal international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0956-540X
DOI - 10.1111/j.1365-246x.1937.tb07110.x
Subject(s) - reflection (computer programming) , geology , seismology , layer (electronics) , geophysics , synthetic seismogram , computer science , materials science , composite material , programming language
Summary The treatment of the n ‐layer problem presented in this paper is based on the assumption that the subsoil is bounded by a plane surface and that plane interfaces of arbitrary position subdivide the subsoil into homogeneous isotropic solid layers. In section I recursion formulae are derived for wave‐rays which are reflected by one interface and refracted by the others. It is shown in Section Z that a parametric represention of the travel‐time function can be found for an arbitrary position of the point source. Section 3 deals with the computation of the travel‐time for a given position of a seismometer. The method is based on successive approximations using a Taylor expansion of the travel‐time. In sections 4 and 5 a method is presented to compute the front velocities and the positions of the interfaces in the subsoil on the basis of suitable seimic measurements.