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

De Bellis, Maria Laura and Della Vecchia, Gabriele and Ortiz, Michael and Pandolfi, Anna (2017) A multiscale model of distributed fracture and permeability in solids in all-round compression. Journal of the Mechanics and Physics of Solids, 104 . pp. 12-31. ISSN 0022-5096.

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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 tensile or shear strength in the undamaged material. Secondary faults may form in a hierarchical organization, 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 damaged material. The model is the finite kinematics version of a recently proposed porous material model, applied with success to the simulation of laboratory tests and excavation problems [De Bellis, M. L., Della Vecchia, G., Ortiz, M., Pandolfi, A., 2016. A linearized porous brittle damage material model with distributed frictional-cohesive faults. Engineering Geology 215, 10–24. Cited By 0. 10.1016/j.enggeo.2016.10.010]. The extension adds over and above the linearized kinematics version for problems characterized by large deformations localized in narrow zones, while the remainder of the solid undergoes small deformations, as typically observed in soil and rock mechanics problems. The approach is particularly appealing as a means of modeling a wide scope of engineering problems, ranging from the prevention of water or gas outburst into underground mines, to the prediction of the integrity of reservoirs for CO_2 sequestration or hazardous waste storage, to hydraulic fracturing processes.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Pandolfi, Anna0000-0002-7084-7456
Additional Information:© 2017 Elsevier Ltd. Received 22 December 2016, Revised 29 March 2017, Accepted 30 March 2017, Available online 1 April 2017.
Funding AgencyGrant Number
Ente Nazionale Idrocarburi San Donato Milanese3500034224
Subject Keywords:Microstructured permeability; Parallel faults; Multi-scale permeability; Analytical models
Record Number:CaltechAUTHORS:20160316-140142435
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Official Citation:Maria Laura De Bellis, Gabriele Della Vecchia, Michael Ortiz, Anna Pandolfi, A multiscale model of distributed fracture and permeability in solids in all-round compression, Journal of the Mechanics and Physics of Solids, Volume 104, July 2017, Pages 12-31, ISSN 0022-5096, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:65400
Deposited By: Tony Diaz
Deposited On:16 Mar 2016 21:10
Last Modified:25 May 2017 18:20

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