Open AccessThe correspondence between gravitational attraction and surface displacement due to volume expansion
Author(s) -
Vasco D. W.,
Johnson L. R.
Publication year - 1987
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.1987.tb05191.x
Subject(s) - displacement (psychology) , surface (topology) , volume (thermodynamics) , space (punctuation) , similarity (geometry) , homogeneous , gravitation , volume expansion , mathematics , geometry , mathematical analysis , physics , geodesy , classical mechanics , statistical physics , geology , computer science , medicine , psychology , artificial intelligence , image (mathematics) , psychotherapist , operating system , quantum mechanics
Summary. It is shown that the formulas for the calculation of surface displacement due to a volume source in a half‐space may be derived from a potential of the same form as the gravitational potential. The similarity between these expressions allows the use of methods developed for gravity in the study of surface displacement. As an example of the applicability of the correspondence, an efficient algorithm is developed for the calculation of uplift due to volume expansion within a homogeneous half‐space. The method may be generalized to three‐dimensional volumes undergoing expansion in a half‐space.