... pressure result geomechanics la solution far-field stress application anisotropy principal stress boundary condition maximum tangential stress lekhnitskii tangential stress training run minimum principal stress (3) σ x = σ x 0 + σ x b = σ x 0 + 2 ℜ...

... is crucial for evaluating its static response. Mathematically, the contact configuration introduces a set of boundary conditions at the contact points. However, the contact configuration is unknown a priori , as it is subject to a contact law in terms of deflections and contact force, which must...

... at surface during transient production. Next, tracer concentration behavior over time is interpreted, for each producing interval, by means of an ad-hoc one-dimensional partial differential equation model with proper initial and boundary conditions, which describes tracer dispersion and advection profiles...

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... is presented when the amount of wetting liquid volume connected to the pore is altered through changing the boundary conditions (cases 1 and 2). Moreover, the effect of drier surrounding medium and/or drier pores is also tested by increasing either the capillary pressure surrounding the pore or the capillary...

.... The results from the 1D simulation were then used as boundary conditions in a 3D CFD simulator, which aimed to assess how long it would take to a satisfactory homogenization of the inhibitor with the flow and what would be the minimum depth for the injector should be installed. In this work, a 1D multiphase...

... different mechanical boundary conditions, one can obtain several closed-form solutions for storage coefficient. The developed storage coefficients, however, include Poisson's ratio (PR) as the target variable to estimate from conventional well testing. As a verification, a case study was conducted using...

... is assumed to be homogenous, for each well completion type were solved subject to the appropriate initial, interface and outer boundary conditions by using the method of Laplace transformation and inverted numerically by using the Stehfest inversion algorithm ( Stehfest, 1970 ). The solutions presented...

... the effect of boundary conditions on the OPR based on experimental data and numerical simulation. Fig. 2 shows the variation of the average bottomhole pressure with superficial gas velocity at standard conditions for constant mass and constant pressure boundaries. The bars represent the fluctuation range...

... boundary condition on the fracture walls or a constant leakoff rate into the formation. However, the results deduced based on these assumptions may introduce significant errors because the fluid pressure inside a fracture dissipates quickly as the fluid leaks off into the formation. In this study, we...

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... Table 1 Stabilized pressure solutions for very small compressibility and different outer boundary conditions. Tracer flow analog. Table 2 Stabilized pressure solutions for small compressibility and different outer boundary conditions. Tracer flow analog...

... Appropriate boundary conditions are necessary for solving the system of equations presented by Eqs 15 and 17 . It should be noted that Dirichlet (concentration) and Neumann (normal derivative of concentration) type of boundary conditions cannot be simultaneously specified at the boundaries. Rather, one...

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... with adsorption isotherms) and the actual adsorption amount per unit pore surface area. Free gas flow inside 3D reconstructions of shale pore space is modeled by Navier-Stokes equations with Maxwell's first-order slip boundary conditions. To include gas contributions from desorption, extra source with strength...

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