New Productivity Formulae of Horizontal Wells

Lu, Jing

doi:10.2118/01-10-03

Cited by 18 publications

(18 citation statements)

References 21 publications

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“…Here, it has to be clarified if the point convergence density (fl ow rate) of the point (x o , 0, z w ) is q sc , then the total productivity of the horizontal well is (Lu, 2001):…”

Section: Steady-state Equationmentioning

confidence: 99%

“…According to Simpson's quadrature rule (Lu, 2001), we obtain the average dimensionless pseudo-pressure along the horizontal section: …”

Section: Dimensionless Wellbore Pseudo-pressurementioning

confidence: 99%

“…Anklam and Wiggins (2005) obtained the wellbore pressure along the well and the steady-state productivity with the consideration of the mechanical properties of fluid flow in the wellbore. Lu et al (1993;2001;2002;2003) achieved the productivity equations for horizontal wells under different boundary conditions. These equations are based on the point source function.…”

Section: Introductionmentioning

confidence: 99%

“…In this paper, we employed a similar method to that described by Lu (2001;2002) and derived the steady-state productivity formula for a horizontal well located at the center of a laterally infi nite, bottom waterdrive gas reservoir.…”

Section: Introductionmentioning

confidence: 99%

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A novel steady-state productivity equation for horizontal wells in bottom water drive gas reservoirs

2011

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It is known that there is a discrepancy between fi eld data and the results predicted from the previous equations derived by simplifying three-dimensional (3-D) fl ow into two-dimensions (2-D). This paper presents a new steady-state productivity equation for horizontal wells in bottom water drive gas reservoirs. Firstly, the fundamental solution to the 3-D steady-state Laplace equation is derived with the philosophy of source and the Green function for a horizontal well located at the center of the laterally infi nite gas reservoir. Then, using the fundamental solution and the Simpson integral formula, the average pseudo-pressure equation and the steady-state productivity equation are achieved for the horizontal section. Two case-studies are given in the paper, the results calculated from the newly-derived formula are very close to the numerical simulation performed with the Canadian software CMG and the real production data, indicating that the new formula can be used to predict the steady-state productivity of such horizontal gas wells.

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“…Here, it has to be clarified if the point convergence density (fl ow rate) of the point (x o , 0, z w ) is q sc , then the total productivity of the horizontal well is (Lu, 2001):…”

Section: Steady-state Equationmentioning

confidence: 99%

“…According to Simpson's quadrature rule (Lu, 2001), we obtain the average dimensionless pseudo-pressure along the horizontal section: …”

Section: Dimensionless Wellbore Pseudo-pressurementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A novel steady-state productivity equation for horizontal wells in bottom water drive gas reservoirs

2011

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“…Thus, how to precisely forecast the wells productivity after completing the drilling work is pivotal to a gas reservoir engineer.Many methods can be adopted to predict the productivity of a horizontal well without edge and bottom water. The existing analytical methods for evaluating the productivity of horizontal wells in closed reservoirs are all based on production at a constant well rate, such as Babu and Odeh (1989), Goode and Kuchuk (1991), Besson et al (1990), Hagoort (2009), Lu (2001 and Lu et al (2003).…”

Section: Introductionmentioning

confidence: 99%

Productivity model of horizontal wells in a sour gas reservoir

Zhao

2015

Particulate Science and Technology

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Downloaded by [New York University] at 22:17 05 August 2015 2The utilization of a horizontal well has a great significance with the development of sour gas reservoir. The accurate predection of the productivity of horizontal well will become more and more important in developing sour gas reservior. In this paper, the effect of sulfur deposition on permeability is considered and a productivity prediction formula of the horizontal well is established. The effects of the length of horizontal well, the effective thickness of the reservior, elemental sulfur deposition and reservoir heterogeneity on productivity are analyzed and calculated. The theoretical results show that elemental sulfur disposition and the heterogeneity are the most important factors. According to the field case,the calculating results of improved Joshi's equation approaches the real productivity, which means that it could be used to predict the productivity of horizontal well at initial stage during sour gas reservoir development. The results can be used as a reference for the development of similar sour gas reservoir.

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A new and simple model for the prediction of horizontal well productivity in gas condensate reservoirs

Ghahri¹,

Jamiolahmadi

Alatefi

et al. 2018

Fuel

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Horizontal wells are a proven and acknowledged technology to enhance well productivity through an increase in reservoir contact compared to that of vertical wells under the same conditions. In the last three decades, a considerable effort has been directed by many investigators to study flow around horizontal wells. In gas condensate reservoirs, in addition to the three dimensional (3D) nature of the flow geometry, the flow behaviour is further complicated by the phase change and the variation of relative permeability (kr) due to the coupling (increase in kr by an increase in velocity or decrease in IFT) and inertia (a decrease in kr by an increase in velocity) effects. Therefore, simulating such a complex 3D flow using commercial numerical simulators requires a 3D fine grid compositional approach which is very impractical, cumbersome and sometimes triggers convergence problems due to numerical instability. So far, none of these studies propose a method to deal with the complex multiphase behaviour of gas condensate flow around the horizontal well. Consequently, the introduction of a quick and reliable tool for long term productivity calculation in such a system is much needed. This paper presents a technique which was developed through a comprehensive study of the flow behaviour around horizontal wells in gas condensate reservoirs involving the creation of many in-house mathematical models using finite element and finite difference methods. An in-house simulator was developed to accurately model the multiphase flow of gas and condensate around horizontal wells. A large data bank was then generated covering the impact of a wide range of pertinent geometric and flow parameters on well performance including: well and reservoir geometries, reservoir and bottom-hole pressure, fluid velocity, gas oil ratio and fluid composition.Based on the results of the simulation, a new method has been proposed to predict the productivity of horizontal wells for the case of multiphase flow of gas and condensate. In this approach, the flow behaviour of gas and condensate around the well is quantified in terms of the effective wellbore radius of an equivalent open hole that replicates flow around the actual 3D system. The effective wellbore radius varies with fluid properties, velocity and interfacial tension (IFT), reservoir and wellbore conditions. The integrity of the new methodology has also been verified for various fluids and flow conditions.With this approach, a simple spreadsheet, without recourse to complex numerical simulation, can predict the horizontal well performance, significantly facilitating engineering and management decisions on the application of costly horizontal well technologies.

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New Productivity Formulae of Horizontal Wells

Cited by 18 publications

References 21 publications

A novel steady-state productivity equation for horizontal wells in bottom water drive gas reservoirs

A novel steady-state productivity equation for horizontal wells in bottom water drive gas reservoirs

Productivity model of horizontal wells in a sour gas reservoir

A new and simple model for the prediction of horizontal well productivity in gas condensate reservoirs

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