... Upstream Oil & Gas calculation TSO sand control bottom hole pressure contour hydraulic fracturing analytical solution fracture geometry Simulation proppant concentration proppant density onset frac and pack fracture length three-dimensional simulator geometry final fracture...

... in porous media isotropic plane borehole analytical solution University anisotropy coefficient parameter ratio Abousleiman poroelasticity Pacific Rocks 2000, Girard, Liebman, Breeds & Doe (eds) © 2000 Balkema, Rotterdam, ISBN 905809 1554 Porothermoelastic solutions for an inclined borehole...

... occurs. The laminar flow of Bingham materials can be described by a modified cubic law where the fracture transmissivity is a non-linear function of the gradient. Using an analytical solution previously proposed by the author and based on the integral transform method, an iterative procedure is presented...

... regarding the in-situ stress orien- tation. The time-dependent poroelastic effect at the junction was also examined numerically, and the corresponding results are presented in this pa- per. These results were compared, and the gen- erated mesh and boundary conditions validated, with the analytical solutions...

... of the discontinuities. 2 THE "TWO BLOCK SLIDING PROBLEM" 2.1 Problem description and derivation The importance of modeling kinematics of motion is illustrated through analysis of the "two block sliding problem." An analytical solution for initiation of sliding, without kinematic constraints, is presented by Goodman...

... is presented. The fluid flow through the connected fractures is stated using reciprocal principle. The second porosity is taken into account by identifying the matrix-blocks delimited by the nearby connected fractures. A comparison with analytical solutions for simple double porosity model is presented. 1...

... plane faults. complex reservoir Frictional Resistance hydraulic fracturing curvature Reservoir Characterization frictionally Upstream Oil & Gas localization monocline loading bedding plane fault interface element flexure interface deflection analytical solution fracture...