3-D Numerical Investigation of Subsurface Flow in Anisotropic Porous Media using Multipoint Flux Approximation Method

Negara, Ardiansyah; Salama, Amgad; Sun, Shuyu

doi:10.2118/165960-ms

Cited by 7 publications

(11 citation statements)

References 14 publications

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“…This approach generates a set of predefined pressure fields in such a way that the undetermined coefficients are calculated from the experimenting pressure fields. The experimenting pressure field approach has been successfully implemented to solve incompressible single and two-phase flow problems Negara 2015;Negara et al 2013Negara et al , 2014Negara et al , 2015Salama et al 2013. In this paper, we extend the application of experimenting pressure field approach to solve the compressible single-phase gas flow in shale reservoirs.…”

Section: Experimenting Pressure Field Approachmentioning

confidence: 99%

“…27, respectively. Using the same concept of implementation of experimenting pressure field approach to construct the matrix of coefficients in the incompressible flow model Negara 2015;Negara et al 2013Negara et al , 2014Negara et al , 2015Salama et al 2013), the matrix of coefficients A 5 is constructed as follows:…”

Section: Experimenting Pressure Field Approachmentioning

confidence: 99%

“…MPFA method was first introduced by Aavatsmark et al (1998) and Aavatsmark (2002). MPFA method has been widely implemented in many engineering applications (Keilegavlen et al 2012;Osman et al 2012;Negara 2015;Negara et al 2013Negara et al , 2014Negara et al , 2015Salama et al 2013. As indicated by its name, MPFA involves more point stencils than TPFA, e.g., 9-point stencil and 27-point stencil for 2-D and 3-D problems, respectively.…”

Section: Introductionmentioning

confidence: 99%

“…In other words, the matrix of coefficients is constructed automatically within the solver. This approach has been implemented successfully in recent years Negara 2015;Negara et al 2013Negara et al , 2014Negara et al , 2015Salama et al, 2013.…”

Section: Introductionmentioning

confidence: 99%

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Numerical Simulation of Natural Gas Flow in Anisotropic Shale Reservoirs

Negara

Salama

Sun

et al. 2015

Day 3 Wed, November 11, 2015

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Shale gas resources have received great attention in the last decade due to the decline of the conventional gas resources. Unlike conventional gas reservoirs, the gas flow in shale formations involves complex processes with many mechanisms such as Knudsen diffusion, slip flow (Klinkenberg effect), gas adsorption and desorption, strong rock-fluid interaction, etc. Shale formations are characterized by the tiny porosity and extremely low-permeability such that the Darcy equation may no longer be valid. Therefore, the Darcy equation needs to be revised through the permeability factor by introducing the apparent permeability. With respect to the rock formations, several studies have shown the existence of anisotropy in shale reservoirs, which is an essential feature that has been established as a consequence of the different geological processes over long period of time. Anisotropy of hydraulic properties of subsurface rock formations plays a significant role in dictating the direction of fluid flow. The direction of fluid flow is not only dependent on the direction of pressure gradient, but it also depends on the principal directions of anisotropy. Therefore, it is very important to take into consideration anisotropy when modeling gas flow in shale reservoirs. In this work, the gas flow mechanisms as mentioned earlier together with anisotropy are incorporated into the dual-porosity dual-permeability model through the full-tensor apparent permeability. We employ the multipoint flux approximation (MPFA) method to handle the full-tensor apparent permeability. We combine MPFA method with the experimenting pressure field approach, i.e., a newly developed technique that enables us to solve the global problem by breaking it into a multitude of local problems. This approach generates a set of predefined pressure fields in the solution domain in such a way that the undetermined coefficients are calculated from these pressure fields. In other words, the matrix of coefficients is constructed automatically within the solver. We ran a numerical model with different scenarios of anisotropy orientations and compared the results with the isotropic model in order to show the differences between them. We investigated the effect of anisotropy in both the matrix and fracture systems. The numerical results show anisotropy plays a crucial role in dictating the pressure fields as well as the gas flow streamlines. Furthermore, the numerical results clearly show the effects of anisotropy on the production rate and cumulative production. Incorporating anisotropy together with gas flow mechanisms in shale formations into the reservoir model is essential particularly for predicting maximum gas production from shale reservoirs.

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Section: Experimenting Pressure Field Approachmentioning

confidence: 99%

Section: Experimenting Pressure Field Approachmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Numerical Simulation of Natural Gas Flow in Anisotropic Shale Reservoirs

Negara

Salama

Sun

et al. 2015

Day 3 Wed, November 11, 2015

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“…We also adapt the experimenting field approach developed by Sun et al (2012) which solves a set of local problems and construct the global system automatically, Salama et al 2014. This scheme has been rigorously tested against a number of cases in both single and two-phase systems including anisotropy, e.g., Osman et al 2012, Negara et al 2013. Multipoint flux approximation has grown following two independent routes.…”

Section: Numerical Algorithmmentioning

confidence: 99%

Numerical investigation of nanoparticles transport in anisotropic porous media

Salama

Negara

El-Amin

et al. 2015

Journal of Contaminant Hydrology

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In this work the problem related to the transport of nanoparticles in anisotropic porous media is investigated numerically using the multipoint flux approximation. Anisotropy of porous media properties are an essential feature that exist almost everywhere in subsurface formations. In anisotropic media, the flux and the pressure gradient vectors are no longer collinear and therefore interesting patterns emerge. The transport of nanoparticles in subsurface formations is affected by several complex processes including surface charges, heterogeneity of nanoparticles and soil grain collectors, interfacial dynamics of double-layer and many others. We use the framework of the theory of filtration in this investigation. Processes like particles deposition, entrapment, as well as detachment are accounted for. From the numerical methods point of view, traditional twopoint flux finite difference approximation cannot handle anisotropy of media properties. Therefore, in this work we use the multipoint flux approximation (MPFA). In this technique, the flux components are affected by more neighboring points as opposed to the mere two points that are usually used in traditional finite volume methods. We also use the experimenting pressure field approach which automatically constructs the global system of equations by solving multitude of local problems. This approach facilitates to a large extent the construction of the global system. A set of numerical examples is considered involving two-dimensional rectangular domain. A source of nanoparticles is inserted in the middle of the anisotropic layer. We investigate the effects of both anisotropy angle and anisotropy ratio on the transport of nanoparticles in saturated porous media. It is found that the concentration plume and porosity contours follow closely the principal direction of anisotropy of permeability of the central domain.

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Multiphase flow simulation with gravity effect in anisotropic porous media using multipoint flux approximation

2015

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Please cite this article as: Negara, A., Salama, A., Sun, S., Multiphase flow simulation with gravity effect in anisotropic porous media using multipoint flux approximation, Computers & Fluids (2015), doi: http://dx.doi.org/ 10. 1016/j.compfluid.2015.02.012 This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain. AbstractNumerical investigations of two-phase flows in anisotropic porous media have been conducted. In the flow model, the permeability has been considered as a full tensor and is implemented in the numerical scheme using the multipoint flux approximation within the framework of finite difference method. In addition, the experimenting pressure field approach is used to obtain the solution of the pressure field, which makes the matrix of coefficient of the global system easily constructed. A number of numerical experiments on the flow of two-phase system in two-dimensional porous medium domain are presented. In this work, the gravity is included in the model to capture the possible buoyancy-driven effects due to density differences between the two phases. Different anisotropy scenarios have been considered. From the numerical results, interesting patterns of the flow, pressure, and saturation fields emerge, which are significantly influenced by the anisotropy of the absolute permeability field. It is found that the two-phase system moves along the principal direction of anisotropy.2 Furthermore, the effects of anisotropy orientation on the flow rates and the cross flow index are also discussed in the paper.

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3-D Numerical Investigation of Subsurface Flow in Anisotropic Porous Media using Multipoint Flux Approximation Method

Cited by 7 publications

References 14 publications

Numerical Simulation of Natural Gas Flow in Anisotropic Shale Reservoirs

Numerical Simulation of Natural Gas Flow in Anisotropic Shale Reservoirs

Numerical investigation of nanoparticles transport in anisotropic porous media

Multiphase flow simulation with gravity effect in anisotropic porous media using multipoint flux approximation

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