2011
DOI: 10.1007/s12182-011-0116-2
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A novel steady-state productivity equation for horizontal wells in bottom water drive gas reservoirs

Abstract: 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 i… Show more

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Cited by 5 publications
(4 citation statements)
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“…(13) and obtain the dependence of the potential gradient on the pressure gradient: g dz dp dz According to Eqs. (12) and (14), the necessary condition for the water at point M to be able to rise can be expressed in terms of the potential gradient:…”
Section: Theory Of the Startup State For Onset Of Water Risementioning
confidence: 99%
See 1 more Smart Citation
“…(13) and obtain the dependence of the potential gradient on the pressure gradient: g dz dp dz According to Eqs. (12) and (14), the necessary condition for the water at point M to be able to rise can be expressed in terms of the potential gradient:…”
Section: Theory Of the Startup State For Onset Of Water Risementioning
confidence: 99%
“…Consequently, the bottom water will rise with increasing velocity until the water floods into the wellbore. If the well is producing at a rate higher than Q m or with a pressure difference greater than p m , then according to the equations for the startup conditions (12) or (15), the water will begin to rise. And conversely, if g dz dp w z   0 / at point M, then the water will not rise.…”
Section: Theory Of the Startup State For Onset Of Water Risementioning
confidence: 99%
“…To date, studies on water invasion have focused on homogeneous reservoirs [16][17][18][19]. However, due to the random distribution of the pore space, fractured-vuggy carbonate reservoirs are quite different from homogeneous reservoirs [20].…”
Section: Introductionmentioning
confidence: 99%
“…This necessitates the determination of the maximum waterfree oil production rate that a completed well can deliver. The flow mechanisms, correlations and methods to calculate this critical rate have been developed for wells completed in a continuous pay zone with oil-water contact or gas-oil contact or both (Meyer and Garder 1954;Chierici et al 1964;Høyland et al 1989;Menouar and Hakim 1995;Zhang et al 2011;Tabatabaei et al 2012). Correlations have also been developed to predict the water breakthrough time and time for a well to produce above its critical rate (Papatzacos et al 1989;Yang and Wattenbarger 1991).…”
Section: Introductionmentioning
confidence: 99%