Gräser, Carsten and Kornhuber, Ralf and Podlesny, Joscha
(2021)
*NUMERICAL SIMULATION OF MULTISCALE FAULT SYSTEMS WITH
RATE- AND STATE-DEPENDENT FRICTION.*
ArXiv
.
pp. 1-27.
(Unpublished)

PDF
1MB |

Official URL: arXiv:2110.14429v1

## Abstract

Abstract. We consider the deformation of a geological structure with non-intersecting faults that can be represented by a layered system of viscoelastic bodies satisfying rate- and state-depending friction conditions along the common interfaces. We derive a mathematical model that contains classical Dieterich- and Ruina-type friction as special cases and accounts for possibly large tangential displacements. Semi-discretization in time by a Newmark scheme leads to a coupled system of non-smooth, convex minimization problems for rate and state to be solved in each time step. Additional spatial discretization by a mortar method and piecewise constant finite elements allows for the decoupling of rate and state by a fixed point iteration and efficient algebraic solution of the rate problem by truncated non-smooth Newton methods. Numerical experiments with a spring slider and a layered multiscale system illustrate the behavior of our model as well as the efficiency and reliability of the numerical solver.

Item Type: | Article |
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Subjects: | Mathematical and Computer Sciences > Mathematics > Applied Mathematics |

Divisions: | Department of Mathematics and Computer Science > Institute of Mathematics |

ID Code: | 2631 |

Deposited By: | Monika Drueck |

Deposited On: | 28 Oct 2021 14:52 |

Last Modified: | 28 Oct 2021 14:52 |

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