An approach to calculating snake well productivity under steady-state flow

Zhang, Qi; Liang, Baosheng; Yan, Wende; Xiang, Zuping; Yuan, Yilong; Li, Jiqiang

doi:10.1016/j.jngse.2015.07.043

Cited by 3 publications

(2 citation statements)

References 47 publications

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“…is an analytical function [2], the superposition of multiple complex logarithm functions results in an analytical function. Accordingly, we obtain w(z) based on the method of mirror images [8][9][10][11][12][13], i.e.,…”

Section: Analytical Solutionmentioning

confidence: 99%

“…In this paper, the proposed analytical solution for inter-well porous flow is derived based on the complex variable function theory [1,2], combined with the method of mirror images [8][9][10][11][12][13]. It should be noted that using mirror wells to solve symmetrical flow problem in porous media is not new and has been successfully applied to analytically solve inter-well flows inside unbounded domains with one or two straight boundaries, as well as those inside or outside a circular domain [4].…”

Section: Introductionmentioning

confidence: 99%

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Analytical Solution for 2D Inter-Well Porous Flow in a Rectangular Reservoir

Ding

Wang

2018

Applied Sciences

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Inter-well fluid flows through porous media are commonly encountered in the production of groundwater, oil, and geothermal energy. In this paper, inter-well porous flow inside a rectangular reservoir is solved based on the complex variable function theory combined with the method of mirror images. In order to derive the solution analytically, the inter-well flow is modeled as a 2D flow in a homogenous and isotropic porous medium. The resulted exact analytical solution takes the form of an infinite series, but it can be truncated to give high accuracy approximation. In terms of nine cases of inter-well porous flow associated with enhanced geothermal systems, the applications of the obtained analytical solution are demonstrated, and the convergence properties of the truncated series are investigated. It is shown that the convergent rate of the truncated series increases with the symmetric level of well distribution inside the reservoir, and the adoption of Euler transform significantly accelerates the convergence of alternating series cases associated with asymmetric well distribution. In principle, the analytical solution proposed in this paper can be applied to other scientific and engineering fields, as long as the involved problem is governed by 2D Laplace equation in a rectangular domain and subject to similar source/sink and boundary conditions, i.e., isolated point sources/sinks and uniform Dirichlet or homogeneous Neumann boundary conditions.

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Section: Analytical Solutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Analytical Solution for 2D Inter-Well Porous Flow in a Rectangular Reservoir

Ding

Wang

2018

Applied Sciences

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Productivity evaluation of horizontal well in heterogeneous reservoir with composite water aquifer

Yuan¹,

Wen-hong²,

Yuan

et al. 2021

J Petrol Explor Prod Technol

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Horizontal well is an important way to develop thin reservoir with edge-bottom water aquifer. For the horizontal well near oil–water contact, the reservoir have the features of edge water and bottom water at the same time. The productivity formula of horizontal well in pure edge water or pure bottom water reservoir is not fully applicable to this type of reservoir. For the heterogeneous reservoir with composite water aquifer, the horizontal well is divided into multiple well sections by using the concept of multi-segment well. Based on the seepage mechanics theory and potential superposition principle, considering the mutual interference between multi well sections, the productivity formula of horizontal well in heterogeneous reservoir with composite water aquifer is established. The new productivity formula considers the effect of reservoir heterogeneity, the quasi-linear flow of lateral edge water and the ellipsoidal flow of vertical bottom water. It can effectively determine the influence range and drainage distance of edge water in a heterogeneous reservoir with composite water aquifer. According to the test data of horizontal wells in Weizhou 11-1 oilfield, the drainage distance b of edge water is fitted and used to predict the productivity of new wells, and the result is very good. The research result lays a foundation for productivity prediction of horizontal well in heterogeneous reservoir with composite water aquifer.

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Evaluation of productivity index in unconventional reservoir systems: An extended Distributed Volumetric Sources method

Asadi

Zendehboudi

2019

Journal of Natural Gas Science and Engineering

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An approach to calculating snake well productivity under steady-state flow

Cited by 3 publications

References 47 publications

Analytical Solution for 2D Inter-Well Porous Flow in a Rectangular Reservoir

Analytical Solution for 2D Inter-Well Porous Flow in a Rectangular Reservoir

Productivity evaluation of horizontal well in heterogeneous reservoir with composite water aquifer

Evaluation of productivity index in unconventional reservoir systems: An extended Distributed Volumetric Sources method

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