Permeability of Fractured Shale and Two-Phase Relative Permeability in Fractures

Singh, Harpreet; Cai, Jingong

doi:10.1016/b978-0-12-816698-7.00006-1

Cited by 11 publications

(5 citation statements)

References 61 publications

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“…By making use of equation (27), equations (10)-( 14) lead to the following nonlinear system of first-order ODEs: 8…”

Section: Solution Methodology and Validation Of Resultsmentioning

confidence: 99%

“…Further, Darcy's law can be applied successfully to evidence instantaneous laminar flows through petroleum reservoirs, due to its simplicity in linking the magnitude of flow rate to the permeability of the medium, the fluid viscosity, and the pressure difference over a long distance. Despite the vast practical uses of this model in scientific literature, Singh and Cai [27] demonstrated recently that the porous media can not be described generally by Darcy's law or even by that developed thereafter by Brinkman [28] in 1947, due to its unsatisfactory results in reality. They found that the discharge rate through pores' shale is extremely underestimated under this model as compared with the results of experiments, which leads to an imprecise evaluation of the permeability value.…”

Section: Introductionmentioning

confidence: 99%

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Application of Arrhenius kinetics on MHD radiative Von Kármán Casson nanofluid flow occurring in a Darcy-Forchheimer porous medium in the presence of an adjustable heat source

Ragupathi¹,

Muhammad²,

Islam³

et al. 2021

Phys. Scr.

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This research paper explores the implications of nonlinear Rosseland thermal radiation and temperature-dependent heat generation on non-Darcian steady MHD convective Casson nanofluid flows over a radially extended rotating disk. Besides, the significance of the activation energy is also taken into account in the present modeling during the chemical reaction process. Based on the boundary layer theory, the associated dimensionless boundary layer equations are derived mathematically in the context of Von Kármán’s proposition. By invoking a trustworthy BVP4C numerical algorithm, the nonlinear differential system defining the resulting boundary value problem is handled successfully with the help of an iterative shooting procedure, whose results are profiled graphically and tabularly versus the varying values of the pertinent flow parameters. Furthermore, the displayed findings show that the radial and azimuthal nanofluid motion slows down significantly with the strengthening in the Casson nanofluid parameter, the Forchheimer number, the porosity parameter, and the magnetic parameter. However, the stretching parameter exhibits a dual dynamical tendency. A thermal enrichment can be provided by intensifying the heat generation parameter, the temperature difference parameter, the thermal radiation parameter, the thermophoresis process, and the Brownian motion of nanoparticles. On the other hand, it is perceived a remarkable boosting up in the concentration profile with the higher estimation in the thermophoresis and activation energy parameters.

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“…By making use of equation (27), equations (10)-( 14) lead to the following nonlinear system of first-order ODEs: 8…”

Section: Solution Methodology and Validation Of Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Application of Arrhenius kinetics on MHD radiative Von Kármán Casson nanofluid flow occurring in a Darcy-Forchheimer porous medium in the presence of an adjustable heat source

Ragupathi¹,

Muhammad²,

Islam³

et al. 2021

Phys. Scr.

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show abstract

“…At present, some scholars have conducted a series of studies on the strong stress sensitivity of reservoirs. From 2019 to 2022, based on core displacement experiments of fractured shale [69], pressure pulse attenuation experiments [69,70], and triaxial core compression experiments [71], the damage mechanism of stress sensitivity of the reservoir was explored by Xue et al In addition, in 2019, the effect of stress sensitivity on material permeability under different pressures and gas compositions was explored by Singh et al [72,73]. From 2019 to 2022, the influence of stress sensitivity coefficients of matrix [74,75], microfractures [74], and hydraulic fractures [74,75] on gas production was analyzed by Liu et al Based on the above research, stress sensitivity is an important characteristic of shale reservoir, which has a great influence on the permeability field.…”

Section: Strong Stress Sensitivity Characteristics Of Shale Matrix An...mentioning

confidence: 99%

Progress of Seepage Law and Development Technologies for Shale Condensate Gas Reservoirs

Yang

Qiao

et al. 2023

Energies

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With the continuous development of conventional oil and gas resources, the strategic transformation of energy structure is imminent. Shale condensate gas reservoir has high development value because of its abundant reserves. However, due to the multi-scale flow of shale gas, adsorption and desorption, the strong stress sensitivity of matrix and fractures, the abnormal condensation phase transition mechanism, high-speed non-Darcy seepage in artificial fractures, and heterogeneity of reservoir and multiphase flows, the multi-scale nonlinear seepage mechanisms are extremely complicated in shale condensate gas reservoirs. A certain theoretical basis for the engineering development can be provided by mastering the percolation law of shale condensate gas reservoirs, such as improvement of productivity prediction and recovery efficiency. The productivity evaluation method of shale condensate gas wells based on empirical method is simple in calculation but poor in reliability. The characteristic curve analysis method has strong reliability but a great dependence on the selection of the seepage model. The artificial intelligence method can deal with complex data and has a high prediction accuracy. Establishing an efficient shale condensate gas reservoir development simulation technology and accurately predicting the production performance of production wells will help to rationally formulate a stable and high-yield mining scheme, so as to obtain better economic benefits.

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“…To finalise this section, it is worth mentioning that the assumptions imposed in this work do not constitute a severe restriction in terms of application of the model. In fact, some systems where it is reasonable to adopt these assumptions (and hence where the macroscopic models presented below are applicable) are the following: incompressible gas-liquid and liquid-liquid packed columns for extraction processes and distillation (Chhabra & Basavaraj 2019), incompressible gas and liquid flow through porous shale reservoirs (Singh & Cai 2019), water and non-Newtonian soil flooding for enhanced oil recovery (Sorbie 1991;Nilsson et al 2013), as well as industrial applications in packed bed reactors (Giri & Majumder 2014) and bioreactors (Sen et al 2017).…”

Section: Flow Problem In a Periodic Unit Cellmentioning

confidence: 99%

“…Two-phase non-Newtonian flow in porous media is involved in numerous applications such as the production of scaffolds for biomedical applications (Elbert 2011), remediation of polluted soils (Philippe et al 2020), in trickle bed reactors (Giri & Majumder 2014) and packed bed bioreactors (Sen, Nath & Bhattacharjee 2017), gas and liquid flow through porous shale reservoirs (Singh & Cai 2019), polymer injection for composite materials manufacturing (Wittemann et al 2019), food engineering (Liu et al 2019), gas-liquid and liquid-liquid flow in packed columns for extraction processes and distillation (Chhabra & Basavaraj 2019) and soil flooding for enhanced oil recovery (Sorbie 1991; Nilsson et al 2013), to cite only a few. Despite this extensive interest, flow modelling at the macroscopic scale relying on a physically sound basis remains challenging and, most of the time, empirical approaches are employed.…”

Section: Introductionmentioning

confidence: 99%

Macroscopic model for generalised Newtonian inertial two-phase flow in porous media

Sánchez-Vargas,

Valdés-Parada,

Trujillo-Roldán

et al. 2023

J. Fluid Mech.

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A closed macroscopic model for quasi-steady, inertial, incompressible, two-phase generalised Newtonian flow in rigid and homogeneous porous media is formally derived. The model consists of macroscopic equations for mass and momentum balance as well as an expression for the macroscopic pressure difference between the two fluid phases. The model is obtained by upscaling the pore-scale equations, employing a methodology based on volume averaging, the adjoint method and Green's formulation, only assuming the existence of a representative elementary volume and the separation of scales between the microscale and the macroscale. The average mass equations coincide with those for Newtonian flow. The macroscopic momentum balance equation in each phase expresses the seepage velocity in terms of a dominant and a coupling Darcy-like term, a contribution from interfacial tension effects and another one from interfacial inertia. Finally, the expression of the macroscopic pressure difference is obtained in terms of the macroscopic pressure gradient and body force in each phase, and interfacial terms that account for capillary effects and inertia, if present when the interface is not stationary. All terms involved in the macroscale equations are predicted from the solution of adjoint closure problems in periodic representative domains. Numerical predictions from the upscaled models are compared with direct numerical simulations for two-dimensional configurations, considering flow of a Newtonian non-wetting fluid and a Carreau wetting fluid. Excellent agreement between the two approaches confirms the pertinence of the macroscopic models derived here.

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Permeability of Fractured Shale and Two-Phase Relative Permeability in Fractures

Cited by 11 publications

References 61 publications

Application of Arrhenius kinetics on MHD radiative Von Kármán Casson nanofluid flow occurring in a Darcy-Forchheimer porous medium in the presence of an adjustable heat source

Application of Arrhenius kinetics on MHD radiative Von Kármán Casson nanofluid flow occurring in a Darcy-Forchheimer porous medium in the presence of an adjustable heat source

Progress of Seepage Law and Development Technologies for Shale Condensate Gas Reservoirs

Macroscopic model for generalised Newtonian inertial two-phase flow in porous media

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