An ALE-based numerical technique for modeling sedimentary basin evolution featuring layer deformations and faults

Authors:
Matteo Longoni;A. Cristiano I. Malossi;Alfio Quarteroni;Andrea Villa;Paolo Ruffo
Affiliations:
MOX, Modeling and Scientific Computing, Department of Mathematics, Politecnico di Milano, Via Bonardi 9, Milano, Italy;CMCS, Chair of Modelling and Scientific Computing, MATHICSE, Mathematics Institute of Computational Science and Engineering, ícole Polytechnique Fédérale de Lausanne, Station 8, CH- ...;MOX, Modeling and Scientific Computing, Department of Mathematics, Politecnico di Milano, Via Bonardi 9, Milano, Italy and CMCS, Chair of Modelling and Scientific Computing, MATHICSE, Mathematics ...;Universití degli Studi di Milano, Department of Mathematics, Via Saldini 50, 20133 Milano, Italy;ENI, Ente Nazionale Idrocarburi, E&P Division, GEBA Department, Via Emilia 1, 20097 San Donato Milanese (MI), Italy
Venue:
Journal of Computational Physics
Year:
2011

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Abstract

In this paper we present a numerical tool to simulate dynamics of stratified sedimentary basins, i.e. depressions on the Earth's surface filled by sediments. The basins are usually complicated by crustal deformations and faulting of the sediments. The balance equations, the non-Newtonian rheology of the sediments, and the depth-porosity compaction laws describe here a model of basin evolution. We propose numerical schemes for the basin boundary movement and for the fault tracking. In addition, a time splitting algorithm is employed to reduce the original model into some simpler mathematical problems. The numerical stability and the other features of the developed methodology are shown using simple test cases and some realistic configurations of sedimentary basins.