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Keywords: analytical solution
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Proceedings Papers

Paper presented at the 55th U.S. Rock Mechanics/Geomechanics Symposium, June 18–25, 2021
Paper Number: ARMA-2021-2154
... and operations upstream oil & gas dimension fracturing materials proppant aperture unconventional hydraulic fracturing fluid dynamics assumption finite element method equation high fidelity hydraulic fracturing simulator perforation wellbore freedom literature simulation analytical solution...
Proceedings Papers

Paper presented at the 55th U.S. Rock Mechanics/Geomechanics Symposium, June 18–25, 2021
Paper Number: ARMA-2021-1743
... characteristic complexity pressure difference heat transfer lattice boltzmann method algorithm cross section upstream oil & gas porous medium international journal analytical solution distribution function ARMA 21 1743 Study on heat transfer characteristics for fluid flow in porous media based...
Proceedings Papers

Paper presented at the 55th U.S. Rock Mechanics/Geomechanics Symposium, June 18–25, 2021
Paper Number: ARMA-2021-1416
... the coupled model using Sneddon's analytical solution for fracture aperture distribution. Through three modeling cases, we discussed the hydraulic fracture branching mechanism: fluid leak-off at hydraulic fracture walls and the changes of Biot effective stress coefficient in the transverse direction after...
Proceedings Papers

Paper presented at the 55th U.S. Rock Mechanics/Geomechanics Symposium, June 18–25, 2021
Paper Number: ARMA-2021-1132
...., 2003). Abousleiman and Nguyen (2005) established the analytical solution of dual-porosity based on the theory of poromechanics. The comparison with single porosity model illustrated that higher pore pressure was shown in fractured formation at early stage. Tran et al. (2011) established the analytical...
Proceedings Papers

Paper presented at the 53rd U.S. Rock Mechanics/Geomechanics Symposium, June 23–26, 2019
Paper Number: ARMA-2019-1619
... and the 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...
Proceedings Papers

Paper presented at the 53rd U.S. Rock Mechanics/Geomechanics Symposium, June 23–26, 2019
Paper Number: ARMA-2019-1955
... 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 constitutive...
Proceedings Papers

Paper presented at the 53rd U.S. Rock Mechanics/Geomechanics Symposium, June 23–26, 2019
Paper Number: ARMA-2019-2188
..., 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 cracking...
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 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-2018-029
... 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...
Proceedings Papers

Paper presented at the 52nd U.S. Rock Mechanics/Geomechanics Symposium, June 17–20, 2018
Paper Number: ARMA-2018-1079
... with reference analytical solutions for penny-shaped fractures and with fully 3D numerical solutions. While the fully 3D model requires discretization in both lateral and vertical directions, the simplified model requires only a single row of elements in height, resulting in considerably lower computation time...
Proceedings Papers

Paper presented at the 52nd U.S. Rock Mechanics/Geomechanics Symposium, June 17–20, 2018
Paper Number: ARMA-2018-656
... problematic when a fracture crosses strong stress or stiffness barriers. In this paper, we assess the accuracy and applicability of VCCT to the concerned configuration through a comparison with an analytical solution, as well as a direct energy method, which is employed as an alternative benchmark when...
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 a considerably...
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...
Proceedings Papers

Paper presented at the 52nd U.S. Rock Mechanics/Geomechanics Symposium, June 17–20, 2018
Paper Number: ARMA-2018-952
... for 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 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-2017-0720
... for fluid pressure calculations close to the fracture tips to catch its singularity. The numerical results were validated against the analytical solutions for two extreme hydraulic fracture propagation regimes. Mesh independency and convergence rate of the proposed method are verified. Comparison between...
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...
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 mud...
Proceedings Papers

Paper presented at the 51st U.S. Rock Mechanics/Geomechanics Symposium, June 25–28, 2017
Paper Number: ARMA-2017-0033
... 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 geological...

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