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TitleAn elliptical model for deformation due to groundwater fluctuations
AuthorTiampo, K F; Ouegnin, F A; Valluri, S; Samsonov, S; Fernández, J; Kapp, G
SourceDeformation and gravity change, indicators of isostasy, tectonics, volcanism and climate change; by Wolf, D (ed.); Santoyo, M (ed.); Fernández, J (ed.); Pure and Applied Geophysics vol. 169, issue 8, 2012 p. 1443-1456, (Open Access)
Alt SeriesEarth Sciences Sector, Contribution Series 20130489
PublisherSpringer Nature
Mediapaper; on-line; digital
File formatpdf
AreaLos Angeles; United States of America
Lat/Long WENS-118.5000 -117.0000 34.6667 33.0000
Subjectshydrogeology; Nature and Environment; subsidence; groundwater; modelling; deformation; aquifers; analytical methods; geodesy; climate change
Released2011 09 09
AbstractHistorically, surface subsidence as a result of subsurface groundwater fluctuations have produced important and, at times, catastrophic effects, whether natural or anthropogenic. Over the past 30 years, numerical and analytical techniques for the modeling of this surface deformation, based upon elastic and poroelastic theory, have been remarkably successful in predicting the magnitude of that deformation (Le Mouélic and Adragna in Geophys Res Lett 29:1853, 2002). In this work we have extended the formula for a circular-shaped aquifer (Geertsma in J Petroleum Tech 25:734–744, 1973) to a more realistic elliptical shape. We have improved the accuracy of the approximation by making use of the cross terms of the expansion for the elliptic coordinates in terms of the eccentricity, e, and the mean anomaly angle, M, widely used in astronomy. Results of a number of simulations, in terms of e and M developed from the transcendental Kepler equation, are encouraging, giving realistic values for the elliptical approximation of the vertical deformation due to groundwater change. Finally, we have applied the algorithm to modeling of groundwater in southern California.