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The method of finite cells for the analysis of terrain subsidence caused by tectonic movements or by subterrain exploitation
Arch. Mech. 59 (6), 541-557, 2007
Keywords: terrain subsidence; kinematics; stochastic approach
Abstract
A simple numerical procedure for determining two- and three-dimensional field of displacements in the terrain subsidence caused by tectonic movements is proposed. The procedure is based on the concept of J. Litwiniszyn, who treated the gravity flow of a solid medium as a stochastic process. In this procedure, an imagined two-dimensional system of cells analogous to the Galton’s board is assumed. Theoretical considerations are supported by simple experimental simulations.