Open AccessA Fast Method for Computing Load Induced Stress in the Earth
Author(s) -
Nyland E.,
Withers R. J.
Publication year - 1976
Publication title -
geophysical journal of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0016-8009
DOI - 10.1111/j.1365-246x.1976.tb00301.x
Subject(s) - fourier transform , deformation (meteorology) , mathematical analysis , point (geometry) , fast fourier transform , mathematics , geology , geometry , algorithm , oceanography
Summary Deformation of the Earth by a large load is usually modelled by the loading of a semi‐infinite elastic half space. Solution of this Boussinesq problem can be achieved by numerical integration of the equations for deformation due to a point load, or by integral transform methods. The solution for the deflections is found by Fourier transforms using the fast Fourier transform algorithm for determining the reservoir topography spectrum. After using a well‐known solution due to Love on the average load, the stresses and displacements can be calculated at the surface. The method is illustrated by applying it to the Kariba Reservoir, and it is found the method is up to twenty times more efficient than numerical integration.