Numerical investigations on compressible non-linear fluid flow associated with a stress -sensitive fractured reservoir
18 Jun 2020-Energy Sources Part A-recovery Utilization and Environmental Effects (Taylor & Francis)-pp 1-20
TL;DR: In this article, the authors developed an improved mathematical model to understand the single-phase gas flow in a coupled matrix-fracture fluid mass exchange in a stress-sensitive reservoir.
Abstract: This paper emphasizes on the development of an improved mathematical model to understand the single-phase gas flow in a coupled matrix-fracture fluid mass exchange in a stress-sensitive reservoir a...
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TL;DR: In this paper, a comprehensive geofluid flow model for a well in a subsurface formation was established and solved, and a general solution method for this model and its general solutions were obtained for vertical and horizontal wells in ordinary, fractured and fractured-vuggy formations.
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01 Jan 1996
TL;DR: In this article, the authors present a survey of waste disposal sites in the United Kingdom, focusing on the following areas: Near-Field, Far-Field and Near-Far-Field.
Abstract: Waste Characteristics. Repository and Barrier Concepts. The Near-Field. The Far-Field. The Biosphere and Radiological Effects. Selection of Waste Disposal Sites. Site Characterisation and URLs. Performance Assessment. Uncertainty and Confidence Building. Where Next. Index.
95 citations
TL;DR: In this paper, an approximate solution to the nonlinear diffusion equation was obtained using a regular perturbation method, which is similar to the original exponential solution of Brace et al. [1968] for a case when the compressibility of the pore fluid is a constant.
Abstract: Transient pulse decay has been widely used to measure permeability of tight rocks and synthetic materials. When the pore fluid is a gas (e.g., dry air, Ar, or N2) as used in a gas permeameter, the pressure diffusion equation governing the pulse decay problem is nonlinear due to a pressure-dependent gas compressibility and molecular slippage effect (also known as the Klinkenberg effect). To simplify data analysis in permeability measurement using a gas permeameter, an approximate solution to the nonlinear diffusion equation was obtained using a regular perturbation method. This solution, which is similar to the original exponential solution of Brace et al. [1968] for a case when the compressibility of the pore fluid is a constant, is valid in the limit when the volume of the interconnected pore fluid is much smaller than the volume of the upstream reservoir. Applications of the approximate solution to laboratory measured pulse decay data show that the estimated sample permeability can be overestimated by as much as a factor of two if the transient gas pressure decay experiment is conducted at low pressures and if molecular slippage is not taken into account. The molecular slippage can be effectively eliminated if the pulse decay measurement is conducted at a mean pressure at least 5 times higher than the Klinkenberg slip factor, which is on the order of 1 bar for texturally equilibrated marble and quartzite used in the permeability study of Wark and Watson [1998].
63 citations
"Numerical investigations on compres..." refers methods in this paper
...Liang et al. (2001) presented the transient pulse decay method to measure the permeability of tight rocks for the nonlinear diffusion equation for a gas....
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TL;DR: In this paper, the authors developed a comprehensive model that couples embedded discrete fractures, multiple interacting continua, and geomechanics to accurately simulate the fluid flow in shale gas reservoirs with multiscale fractures.
Abstract: Shale gas has become one of the primary energy resources during the past few years, and its impact has been profound in many countries. Hydraulic fracturing treatments are required for the development of shale gas reservoirs, and the consequent hydraulic fractures usually connect with the original small-scale natural fractures forming complex fracture networks in these reservoirs. Therefore, a model for numerical simulation, which is capable of accurately modeling naturally and hydraulically fractured reservoirs, is essential in optimization and management of such reservoirs. In this paper, we develop a comprehensive model that couples embedded discrete fractures, multiple interacting continua, and geomechanics to accurately simulate the fluid flow in shale gas reservoirs with multiscale fractures. Large-scale hydraulic fractures are described by an embedded discrete fracture method, while middle-scale and small-scale natural fractures are modeled by a multiple interacting continua method. Usually, the co...
48 citations
TL;DR: In this paper, analytical solutions to the nonlinear partial-differential equation (PDE) that describes pressure behavior during the flow of slightly compressible fluid through porous media are presented and compared with the generally accepted solutions of the linearized version of the original nonlinear PDE.
Abstract: Analytical solutions to the nonlinear partial-differential equation (PDE) that describes pressure behavior during the flow of slightly compressible fluid through porous media are presented. The solutions are compared with the generally accepted solutions of the linearized version of the original nonlinear PDE. It is shown that for routine engineering applications, the solutions to the linearized equation are satisfactory. However, the nonlinear solutions show that some accepted concepts based on the linear solutions are not valid. Moreover, if one is looking for small differences between the field-measured pressure values and the theoretically calculated ones, the solutions to the nonlinear equation should be used in place of the linear solutions.
42 citations
"Numerical investigations on compres..." refers background in this paper
...Odeh and Babu (1988) presented the analytical solution for slightly compressible fluid by considering the nonlinear fluid flow equation including the quadratic pressure gradient term and show that though there is no significant difference with the linear governing equation however nonlinear…...
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36 citations
"Numerical investigations on compres..." refers methods in this paper
...(7), where the compressibility factor is being calculated using Dranchuk and Abou-Kassem (DAK) correlation (Abou-Kassem, Mattar, and Dranchuk 1990)....
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