Numerical procedure for discrete fracture propagation in porous materials

Bernhard A. Schrefler; Stefano Secchi; Luciano Simoni

Numerical procedure for discrete fracture propagation in porous materials

Bernhard A. Schrefler, Stefano Secchi, Luciano Simoni

Houston Methodist

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

This paper presents a numerical procedure for cohesive hydraulic fracture propagation. The quasi static problem of crack nucleation and/or advancement is solved by successive remeshing when domain changes are originated and projections are required in a backward solution scheme. This projection is directly applied to residual nodal vectors (forces and fluxes) of the previous step. This vector is projected using the element shape functions of the old mesh, hence ensuring the fulfilment of the balance equations. The resulting procedure is simple, however checks have to be made on its capability of conserving the energy.

Original language	English
Title of host publication	ECCOMAS 2004 - European Congress on Computational Methods in Applied Sciences and Engineering
State	Published - Dec 1 2004
Event	European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004 - Jyvaskyla, Finland Duration: Jul 24 2004 → Jul 28 2004

Other

Other	European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004
Country/Territory	Finland
City	Jyvaskyla
Period	7/24/04 → 7/28/04

Keywords

Adaptive remeshing
Discrete fracture
Hydraulic fracture
Porous media

ASJC Scopus subject areas

Artificial Intelligence
Applied Mathematics

Cite this

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title = "Numerical procedure for discrete fracture propagation in porous materials",

abstract = "This paper presents a numerical procedure for cohesive hydraulic fracture propagation. The quasi static problem of crack nucleation and/or advancement is solved by successive remeshing when domain changes are originated and projections are required in a backward solution scheme. This projection is directly applied to residual nodal vectors (forces and fluxes) of the previous step. This vector is projected using the element shape functions of the old mesh, hence ensuring the fulfilment of the balance equations. The resulting procedure is simple, however checks have to be made on its capability of conserving the energy.",

keywords = "Adaptive remeshing, Discrete fracture, Hydraulic fracture, Porous media",

author = "Schrefler, {Bernhard A.} and Stefano Secchi and Luciano Simoni",

year = "2004",

month = dec,

day = "1",

language = "English",

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note = "European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004 ; Conference date: 24-07-2004 Through 28-07-2004",

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T1 - Numerical procedure for discrete fracture propagation in porous materials

AU - Schrefler, Bernhard A.

AU - Secchi, Stefano

AU - Simoni, Luciano

PY - 2004/12/1

Y1 - 2004/12/1

N2 - This paper presents a numerical procedure for cohesive hydraulic fracture propagation. The quasi static problem of crack nucleation and/or advancement is solved by successive remeshing when domain changes are originated and projections are required in a backward solution scheme. This projection is directly applied to residual nodal vectors (forces and fluxes) of the previous step. This vector is projected using the element shape functions of the old mesh, hence ensuring the fulfilment of the balance equations. The resulting procedure is simple, however checks have to be made on its capability of conserving the energy.

AB - This paper presents a numerical procedure for cohesive hydraulic fracture propagation. The quasi static problem of crack nucleation and/or advancement is solved by successive remeshing when domain changes are originated and projections are required in a backward solution scheme. This projection is directly applied to residual nodal vectors (forces and fluxes) of the previous step. This vector is projected using the element shape functions of the old mesh, hence ensuring the fulfilment of the balance equations. The resulting procedure is simple, however checks have to be made on its capability of conserving the energy.

KW - Adaptive remeshing

KW - Discrete fracture

KW - Hydraulic fracture

KW - Porous media

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UR - http://www.scopus.com/inward/citedby.url?scp=84893452705&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84893452705

BT - ECCOMAS 2004 - European Congress on Computational Methods in Applied Sciences and Engineering

T2 - European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004

Y2 - 24 July 2004 through 28 July 2004

ER -

Numerical procedure for discrete fracture propagation in porous materials

Abstract

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Keywords

ASJC Scopus subject areas

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