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Keywords: analytical solution
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Proceedings Papers

Paper presented at the 53rd U.S. Rock Mechanics/Geomechanics Symposium, June 23–26, 2019
Paper Number: ARMA-2019-1619
... isotropy plane. We present an analytical solution for an elliptical HF in the toughness dominated regime and use it to benchmark our numerical solver. For a TI elastic material, we investigate HF growth for two different assumptions: isotropic material toughness or isotropic critical fracture energy. In...
Proceedings Papers

Paper presented at the 53rd U.S. Rock Mechanics/Geomechanics Symposium, June 23–26, 2019
Paper Number: ARMA-2019-1716
... solutions for the uncertainty in a fracture intensity measurement. The Poisson distribution is used for modeling the uncertainty of a P 21 measurement. To validate the analytical solutions, this paper uses a commercial discrete fracture network (DFN) code, along with an in-house DFN code, to simulate P 21...
Proceedings Papers

Paper presented at the 53rd U.S. Rock Mechanics/Geomechanics Symposium, June 23–26, 2019
Paper Number: ARMA-2019-1955
... sets with minimal human interaction. Comparisons with analytical solutions and deterministic model runs are also provided to verify that automation is an economical tool that can improve project efficiency. (i) define/validate design geotechnical properties; (ii) test the appropriateness of...
Proceedings Papers

Paper presented at the 53rd U.S. Rock Mechanics/Geomechanics Symposium, June 23–26, 2019
Paper Number: ARMA-2019-2188
.... Additionally, a numerical experiment of crack propagation induced by thermal stress is also given, and its results are compared with the experimental results. The simulation results agree well with the analytical solutions or experimental results, indicating that the proposed approach is effective for thermal...
Proceedings Papers

Paper presented at the 52nd U.S. Rock Mechanics/Geomechanics Symposium, June 17–20, 2018
Paper Number: ARMA-2018-859
... Upstream Oil & Gas oil production fracture propagation analytical solution injection Bakken formation University Ghassemi hydraulic fracturing hydraulic fracture fracture Engineering propagation horizontal bakken well thermoelastic stress poroelastic effect equation 1. INTRODUCTION...
Proceedings Papers

Paper presented at the 52nd U.S. Rock Mechanics/Geomechanics Symposium, June 17–20, 2018
Paper Number: ARMA-2018-952
... drilling mud; design of stimulation treatments; derivation of far-field stress state based on deformations observed at the wellbore wall, etc. These analyses all require the adoption of a model. A typical model adopted for this purpose is the simple 2D analytical solution. Alternative models may use...
Proceedings Papers

Paper presented at the 52nd U.S. Rock Mechanics/Geomechanics Symposium, June 17–20, 2018
Paper Number: ARMA-2018-029
... fracture initiation analytical solution fracture wellbore pressure perforation Barnett shale perforation parallel 1. INTRODUCTION Hydraulic fracturing is a reservoir stimulation method used since the 1940s. This is accomplished by high pressure fluid injection which either creates cracks that...
Proceedings Papers

Paper presented at the 52nd U.S. Rock Mechanics/Geomechanics Symposium, June 17–20, 2018
Paper Number: ARMA-2018-656
... hydraulic fracturing containment Applicability Artificial Intelligence stress intensity factor energy method reservoir geomechanics intensity factor stiffness barrier Reservoir Characterization Upstream Oil & Gas analytical solution fracture vcct stress barrier height growth...
Proceedings Papers

Paper presented at the 52nd U.S. Rock Mechanics/Geomechanics Symposium, June 17–20, 2018
Paper Number: ARMA-2018-514
... as the preferred fluid and 250 F as the desired temperature were considered. Fracture aperture is modeled for three scenarios; edge, center horizontal and center inclined crack. The numerical analysis was also verified utilizing the analytical solution. The presence of pore pressure is shown to have...
Proceedings Papers

Paper presented at the 52nd U.S. Rock Mechanics/Geomechanics Symposium, June 17–20, 2018
Paper Number: ARMA-2018-1079
... hydraulic fracturing fracture length fracture height fracture aperture input parameter correction factor nonuniform height stress correction factor single fracture analytical solution layered formation Upstream Oil & Gas accuracy displacement discontinuity method penny-shaped...
Proceedings Papers

Paper presented at the 52nd U.S. Rock Mechanics/Geomechanics Symposium, June 17–20, 2018
Paper Number: ARMA-2018-1315
... network can be implemented without difficulty in estimating grout penetration in a jointed rock mass. For a verification of the established numerical analysis, the results of penetration length in 1-dimensional linear flow analysis was compared to previous analytical solution. We also showed that the...
Proceedings Papers

Paper presented at the 51st U.S. Rock Mechanics/Geomechanics Symposium, June 25–28, 2017
Paper Number: ARMA-2017-0720
...-linearity of governing equation for the fluid flow inside the fractures, and pressure singularity near the fracture tips. Moreover, the analytical solutions are only available for simple geometries and limiting assumptions (Detournay, 2004). Nevertheless, analytical solutions of the hydraulic fracturing...
Proceedings Papers

Paper presented at the 51st U.S. Rock Mechanics/Geomechanics Symposium, June 25–28, 2017
Paper Number: ARMA-2017-0894
... ABSTRACT: We investigate the effective elastic properties of heterogeneous rocks. This is done by using the finite element method (FEM) on systems with different types of heterogeneity. We look at configurations with known analytical solutions, namely, laminate composites and demonstrate that...
Proceedings Papers

Paper presented at the 51st U.S. Rock Mechanics/Geomechanics Symposium, June 25–28, 2017
Paper Number: ARMA-2017-0855
... are accounted for by modeling both radial and linear flow for fluid invasion within the fractures. A finite difference scheme is employed to predict the invasion of the drilling fluid into the fracture. The results of the numerical solution were validated using well-known analytical solution for the...
Proceedings Papers

Paper presented at the 51st U.S. Rock Mechanics/Geomechanics Symposium, June 25–28, 2017
Paper Number: ARMA-2017-0033
.... Reservoir Characterization stope stress Redistribution reservoir geomechanics Engineering extraction Upstream Oil & Gas backfilled stope stability operation Aubertin mass interface analytical solution metals & mining stope-and-fill mining operation backfill material investigation...
Proceedings Papers

Paper presented at the 51st U.S. Rock Mechanics/Geomechanics Symposium, June 25–28, 2017
Paper Number: ARMA-2017-0164
... production phases, the analytical solution considers the main steps of the wellbore lifespan: initial stress state in the formation, drilling operation, casing construction, initial stress state in the cement, pressure changes inside the casing and pore pressure variation. For both approaches, plane strain...
Proceedings Papers

Paper presented at the 51st U.S. Rock Mechanics/Geomechanics Symposium, June 25–28, 2017
Paper Number: ARMA-2017-0144
... hydraulic fracturing fracture length regime analytical solution hydraulic fracture viscosity-dominated regime fracture toughness Detournay closure case 1 fracture tip flow rate iteration fracture propagation fracture Upstream Oil & Gas fracture growth time step equation...
Proceedings Papers

Paper presented at the 51st U.S. Rock Mechanics/Geomechanics Symposium, June 25–28, 2017
Paper Number: ARMA-2017-0741
... vertical stress shadowing effect. reservoir geomechanics calculation discontinuity Reservoir Characterization stress shadow effect DD element shear stress Upstream Oil & Gas displacement discontinuity method analytical solution interaction fracture stress shadow calculation...
Proceedings Papers

Paper presented at the 51st U.S. Rock Mechanics/Geomechanics Symposium, June 25–28, 2017
Paper Number: ARMA-2017-0813
... consolidation pulse loading test coefficient Upstream Oil & Gas pressure pulse loading consolidation coefficient procedure Reservoir Characterization Biot permeability testing permeability measurement analytical solution effective stress consolidation strain creep bulk modulus loading...
Proceedings Papers

Paper presented at the 51st U.S. Rock Mechanics/Geomechanics Symposium, June 25–28, 2017
Paper Number: ARMA-2017-0542
... damage are used. The context of poro-mechanics is considered to build an original analytical solution. The effect of several parameters is studied and the analysis lead to a fracturing criterion for sedimentation context. 1. INTRODUCTION Reservoir Characterization Upstream Oil & Gas...

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