Pressure and fluid-driven fracture propagation in porous media using an adaptive finite element phase field model

Pressure and fluid-driven fracture propagation in porous media using an adaptive finite element phase field model . Lee, S., Wheeler, M. F., & Wick, T. Computer Methods in Applied Mechanics and Engineering , 305:111 - 132, 2016.
$Pressure and fluid-driven fracture propagation in porous media using an adaptive finite element phase field model [link]$ Paper doi abstract bibtex

Abstract This work presents phase field fracture modeling in heterogeneous porous media. We develop robust and efficient numerical algorithms for pressure-driven and fluid-driven settings in which the focus relies on mesh adaptivity in order to save computational cost for large-scale 3D applications. In the fluid-driven framework, we solve for three unknowns pressure, displacements and phase field that are treated with a fixed-stress iteration in which the pressure and the displacemet-phase-field system are decoupled. The latter subsystem is solved with a combined Newton approach employing a primal-dual active set method in order to account for crack irreversibility. Numerical examples for pressurized fractures and fluid filled fracture propagation in heterogeneous porous media demonstrate our developments. In particular, mesh refinement allows us to perform systematic studies with respect to the spatial discretization parameter.

@article{LeeWheWick2016_Pf,
author = "Sanghyun Lee and Mary F. Wheeler and Thomas Wick",
title = "Pressure and fluid-driven fracture propagation in porous media using an adaptive finite element phase field model ",
journal = "Computer Methods in Applied Mechanics and Engineering ",
volume = "305",
number = "",
pages = "111 - 132",
year = "2016",
note = "",
issn = "0045-7825",
doi = "http://dx.doi.org/10.1016/j.cma.2016.02.037",
url = "http://www.sciencedirect.com/science/article/pii/S0045782516300676",
keywords = {Phase-field fracture, Fluid-filled fracture, Hydraulic fracturing, 
            Adaptive finite elements, Porous media},
abstract = "Abstract This work presents phase field fracture modeling in heterogeneous porous media. We develop robust and efficient numerical algorithms for pressure-driven and fluid-driven settings in which the focus relies on mesh adaptivity in order to save computational cost for large-scale 3D applications. In the fluid-driven framework, we solve for three unknowns pressure, displacements and phase field that are treated with a fixed-stress iteration in which the pressure and the displacemet-phase-field system are decoupled. The latter subsystem is solved with a combined Newton approach employing a primal-dual active set method in order to account for crack irreversibility. Numerical examples for pressurized fractures and fluid filled fracture propagation in heterogeneous porous media demonstrate our developments. In particular, mesh refinement allows us to perform systematic studies with respect to the spatial discretization parameter. "
}

Downloads: 0

{"_id":"3CcrvXQQLk8K9F5Av","bibbaseid":"lee-wheeler-wick-pressureandfluiddrivenfracturepropagationinporousmediausinganadaptivefiniteelementphasefieldmodel-2016","author_short":["Lee, S.","Wheeler, M. F.","Wick, T."],"bibdata":{"bibtype":"article","type":"article","author":[{"firstnames":["Sanghyun"],"propositions":[],"lastnames":["Lee"],"suffixes":[]},{"firstnames":["Mary","F."],"propositions":[],"lastnames":["Wheeler"],"suffixes":[]},{"firstnames":["Thomas"],"propositions":[],"lastnames":["Wick"],"suffixes":[]}],"title":"Pressure and fluid-driven fracture propagation in porous media using an adaptive finite element phase field model ","journal":"Computer Methods in Applied Mechanics and Engineering ","volume":"305","number":"","pages":"111 - 132","year":"2016","note":"","issn":"0045-7825","doi":"http://dx.doi.org/10.1016/j.cma.2016.02.037","url":"http://www.sciencedirect.com/science/article/pii/S0045782516300676","keywords":"Phase-field fracture, Fluid-filled fracture, Hydraulic fracturing, Adaptive finite elements, Porous media","abstract":"Abstract This work presents phase field fracture modeling in heterogeneous porous media. We develop robust and efficient numerical algorithms for pressure-driven and fluid-driven settings in which the focus relies on mesh adaptivity in order to save computational cost for large-scale 3D applications. In the fluid-driven framework, we solve for three unknowns pressure, displacements and phase field that are treated with a fixed-stress iteration in which the pressure and the displacemet-phase-field system are decoupled. The latter subsystem is solved with a combined Newton approach employing a primal-dual active set method in order to account for crack irreversibility. Numerical examples for pressurized fractures and fluid filled fracture propagation in heterogeneous porous media demonstrate our developments. In particular, mesh refinement allows us to perform systematic studies with respect to the spatial discretization parameter. ","bibtex":"@article{LeeWheWick2016_Pf,\nauthor = \"Sanghyun Lee and Mary F. Wheeler and Thomas Wick\",\ntitle = \"Pressure and fluid-driven fracture propagation in porous media using an adaptive finite element phase field model \",\njournal = \"Computer Methods in Applied Mechanics and Engineering \",\nvolume = \"305\",\nnumber = \"\",\npages = \"111 - 132\",\nyear = \"2016\",\nnote = \"\",\nissn = \"0045-7825\",\ndoi = \"http://dx.doi.org/10.1016/j.cma.2016.02.037\",\nurl = \"http://www.sciencedirect.com/science/article/pii/S0045782516300676\",\nkeywords = {Phase-field fracture, Fluid-filled fracture, Hydraulic fracturing, \n Adaptive finite elements, Porous media},\nabstract = \"Abstract This work presents phase field fracture modeling in heterogeneous porous media. We develop robust and efficient numerical algorithms for pressure-driven and fluid-driven settings in which the focus relies on mesh adaptivity in order to save computational cost for large-scale 3D applications. In the fluid-driven framework, we solve for three unknowns pressure, displacements and phase field that are treated with a fixed-stress iteration in which the pressure and the displacemet-phase-field system are decoupled. The latter subsystem is solved with a combined Newton approach employing a primal-dual active set method in order to account for crack irreversibility. Numerical examples for pressurized fractures and fluid filled fracture propagation in heterogeneous porous media demonstrate our developments. In particular, mesh refinement allows us to perform systematic studies with respect to the spatial discretization parameter. \"\n}\n\n\n\n\n","author_short":["Lee, S.","Wheeler, M. F.","Wick, T."],"key":"LeeWheWick2016_Pf","id":"LeeWheWick2016_Pf","bibbaseid":"lee-wheeler-wick-pressureandfluiddrivenfracturepropagationinporousmediausinganadaptivefiniteelementphasefieldmodel-2016","role":"author","urls":{"Paper":"http://www.sciencedirect.com/science/article/pii/S0045782516300676"},"keyword":["Phase-field fracture","Fluid-filled fracture","Hydraulic fracturing","Adaptive finite elements","Porous media"],"metadata":{"authorlinks":{}},"html":""},"bibtype":"article","biburl":"https://www.math.fsu.edu/~lee/mypub.bib","dataSources":["457QZEBmqtBCSsjgP"],"keywords":["phase-field fracture","fluid-filled fracture","hydraulic fracturing","adaptive finite elements","porous media"],"search_terms":["pressure","fluid","driven","fracture","propagation","porous","media","using","adaptive","finite","element","phase","field","model","lee","wheeler","wick"],"title":"Pressure and fluid-driven fracture propagation in porous media using an adaptive finite element phase field model ","year":2016}