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Walsh 1982
Walsh, J.B. (1982). Changes in gravity resulting from changes in topography. Journal of Geophysical Research 87: doi: 10.1029/JB087iB08p06983. issn: 0148-0227.

The horizontal and vertical components of gravity change when material is transported from one place to another. The change at a station fixed in a position is the sum of two effects. Consider the change in gravity when material is moved toward the station from a remote point. One part, ΔgM, of the total change in gravity is due to the increased attraction between the mass of the transported material and the gravimeter. The other part Δgf, is due to deformation of the earth caused by forces exerted on the surface by the transported material. I assume that deformation of the earth caused by topographical changes can be simulated by applying appropriate shear and normal tractions to a homogeneous, elastic half space. Using the reciprocal theorem, I derive a simple integral giving the changes in the horizontal and vertical components of gravity due to arbitrary tractions in the half space. Evaluating the integral for features having various shapes leads to the conclusion that both the horizontal and vertical components of the gravity change can be expressed in the form ΔgF=-cΔgM(pgd/μ), where c is a constant, p is density, g is gravity, μ is rigidity, and d is a linear dimension, either the distance between the station and the feature or the lateral size of the feature, ΔgF becomes appreciably large in comparison with ΔgM when d is 100 km or larger.<

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Journal
Journal of Geophysical Research
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