Buildup Solution in a System With Multiple Wells Producing at Constant Wellbore Pressures
| Autor: | Agustin Galindo-N., Michael Prats, Rodolfo Camacho-V. |
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| Rok vydání: | 2002 |
| Předmět: | |
| Zdroj: | SPE Reservoir Evaluation & Engineering. 5:278-283 |
| ISSN: | 1930-0212 1094-6470 |
| DOI: | 10.2118/79104-pa |
| Popis: | Summary This paper presents a new analytical solution to obtain the shut-in wellbore pressure at a vertical well that had been producing at a constant wellbore hole pressure from a closed-boundary reservoir with multiple wells producing at constant, different wellbore pressures. The analytical solution is a set of coupled simultaneous equations in the Laplace space (one for each well). These are obtained by using separation of variables, Green's functions, and the unit-step function with the methods of Rodriguez and Cinco-Ley1 and Camacho-V. et al.2 The equation for the shut-in well is nonlinear, preventing us from obtaining the formal solution of the set of equations either in real time or in Laplace space. A number of approaches were used to make the solution tractable. These included expansion of Green's function for large times, a Taylor series expansion of the rates around the time of shut-in, and application of the concepts of Najurieta.3 None of the approaches gave satisfactory results. |
| Databáze: | OpenAIRE |
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