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arXiv · 1602.03801

A multiscale model of distributed fracture and permeability in solids in all-round compression

Maria Laura De Bellis·Gabriele Della Vecchia·Michael Ortiz·Anna Pandolfi
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Abstract

We present a microstructural model of permeability in fractured solids, where the fractures are described in terms of recursive families of parallel, equidistant cohesive faults. Faults originate upon the attainment of a tensile or shear resistance in the undamaged material. Secondary faults may form in a hierarchical orga- nization, creating a complex network of connected fractures that modify the permeability of the solid. The undamaged solid may possess initial porosity and permeability. The particular geometry of the superposed micro-faults lends itself to an explicit analytical quantification of the porosity and permeability of the dam- aged material. The approach is particularly appealing as a means of modeling low permeability oil and gas reservoirs stimulated by hydraulic fracturing.

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Maria Laura De Bellis, Gabriele Della Vecchia, Michael Ortiz, Anna Pandolfi. 2016-02-11. A multiscale model of distributed fracture and permeability in solids in all-round compression. https://doi.org/10.1016/j.jmps.2017.03.017

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