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MATHEMATICAL MODELING OF STRESS STATE IN INCLINED FAULT ZONES BY FINITE ELEMENT METHOD
Authors: R.M. Lobatskaya, I.P. Strelchenko, E.S. Dolgikh
Number of views: 451
Purpose. The structural and physical characteristics of the damage zone of faults are different in hanging and foot walls, therefore the estimation of changes in these areas is one of the key tasks of applied geology. It is logical to assume that there is the asymmetry of stress distribution in the damage zones of faults, for that reason the purpose of research is an attempt of asymmetry quantitative assessment through the mathematical simulation based on the finite-element method. Methods. Stresses in the block around a dipping fracture simulating a damage zone of a fault are reconstructed by ANSYS finite-element modeling. The width of the fault damage zone is analyzed and estimated quantitatively under varying fault lengths, different plane dipping angles, material composition of hanging and foot wall rocks, applied external loads (compression and shear). Results. Simulation of the stress state in the area of inclined fault damage has shown that as the dip angle decreases, the high-stress zone becomes wider in the hanging wall but its width changes negligibly in the foot wall. The length of the simulated fault and the nature of eternal loads affect only the magnitudes of maximum stresses, which remain asymmetrical relative to the fracture plane. Conclusions. The most important simulation result is as follows: the Lh/Lf ratio, where Lh and Lf are the widths of the high-stress zones in the hanging and foot walls of the fracture, respectively, is inversely proportional to the fracture plane dip under equal loading. The revealed distribution asymmetry of high stresses in the inclined fault zone strongly dependent on the fault plane dipping angle induces reconsideration of numerical dependences established earlier (which presumed the symmetry of the fault damage zone width) when solving applied geological problems.