Modeling unsteady-state gravity-driven flow in porous media

Xu, Josh-Qiang

doi:10.1016/j.petrol.2008.07.006

Cited by 11 publications

(2 citation statements)

References 21 publications

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“…A differential equation was developed by equating the Darcy velocity in the saturated zone and the oil volume change of the matrix block. Xu (2008) developed an unsteady-state model to characterize the gravity-driven flow in an angular capillary tube as a fracture. The corner flow was modeled by mass conservation law.…”

Section: Introductionmentioning

confidence: 99%

Analytical Modeling of Oil Production from a Matrix Block by Free Fall Gravity Drainage Mechanism

Ghorbanizadeh

Ardakany

Ghazanfari

2013

Energy Exploration & Exploitation

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Free fall gravity drainage is the most effective mechanism in gas invaded zone of fractured reservoirs. Although several analytical models have been proposed to characterize this mechanism, most of them suffer from inadequate reality, such as neglecting capillary pressure. In this study, a new analytical model was proposed to predict the oil recovery versus time for a homogeneous matrix block under a free fall gravity drainage mechanism. Considering the effect of viscous, gravity as well as capillary forces, the model was developed. This model is applicable to different conditions of gravity and capillary force, as well as when both forces are active. Along with core scale experimental data available in the literature, a series of micro model experiments was also conducted and used to check the model's validity. In addition, a synthetic computer model was constructed and used for further model validation. Results showed that the suggested model predicts the physics of the gravity drainage mechanism very well. The results of this work can be helpful to develop a new transfer function for gravity drainage process modeling in fractured reservoir.

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Section: Introductionmentioning

confidence: 99%

Analytical Modeling of Oil Production from a Matrix Block by Free Fall Gravity Drainage Mechanism

Ghorbanizadeh

Ardakany

Ghazanfari

2013

Energy Exploration & Exploitation

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“…Draining films occur in processes as diverse as dip coating, electroplating, enameling, emptying storage vessels, and oil recovery mechanisms [1,2]. In this article, consideration is given to the approximate solution of the nonlinear partial differential equation system that arises from the free drainage start-up flow of Oldroyd four constant liquids over a vertical surface.…”

Section: Introductionmentioning

confidence: 99%

Spectral approximation for drainage of an Elastico‐viscous liquid and error analysis

Akyıldız

Siginer

2010

Numerical Methods Partial

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A Fourier-Galerkin spectral method is proposed and used to analyze a system of quasilinear partial differential equations governing the drainage of liquids of the Oldroyd four-constant type. It is shown that, Fourier-Galerkin approximations are convergent with spectral accuracy. An efficient and accurate algorithm based on the Fourier-Galerkin approximations to the system of quasilinear partial differential equations are developed and implemented. Numerical results indicating the high accuracy and effectiveness of this algorithm are presented.

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