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• W4251745060 abstract "The Method of Distributed Volumetric Sources for Calculating the Transient and Pseudosteady-State Productivity of Complex Well-Fracture Configurations P.P. Valko; P.P. Valko Texas A&M University Search for other works by this author on: This Site Google Scholar S. Amini S. Amini Texas A&M University Search for other works by this author on: This Site Google Scholar Paper presented at the SPE Hydraulic Fracturing Technology Conference, College Station, Texas, U.S.A., January 2007. Paper Number: SPE-106279-MS https://doi.org/10.2118/106279-MS Published: January 29 2007 Cite View This Citation Add to Citation Manager Share Icon Share Twitter LinkedIn Get Permissions Search Site Citation Valko, P.P., and S. Amini. The Method of Distributed Volumetric Sources for Calculating the Transient and Pseudosteady-State Productivity of Complex Well-Fracture Configurations. Paper presented at the SPE Hydraulic Fracturing Technology Conference, College Station, Texas, U.S.A., January 2007. doi: https://doi.org/10.2118/106279-MS Download citation file: Ris (Zotero) Reference Manager EasyBib Bookends Mendeley Papers EndNote RefWorks BibTex Search Dropdown Menu nav search search input Search input auto suggest search filter All ContentAll ProceedingsSociety of Petroleum Engineers (SPE)SPE Hydraulic Fracturing Technology Conference and Exhibition Search Advanced Search AbstractThe method of Distributed Volumetric Sources (DVS) is developed to solve problems of transient and pseudo steady state fluid flow. The basic building block of the method comprises calculation of the analytical response of a rectilinear reservoir with closed outer boundaries to an instantaneous volumetric source, also shaped as a rectilinear body. The solution also provides the well-testing derivative of the response to a continuous source in analytical form. This can be integrated over time to provide the pressure response to a continuous source. For production engineering applications, we cast the results into a transient/pseudo-steady productivity index form. The new method is validated through comparison to results of some of the well known well-testing solutions for simple configurations such as vertical wells with full and partial penetration, horizontal wells with uniform flux and infinite conductivity, and fractured wells with uniform flux, finite or infinite conductivity. The results show a very good agreement with the existing models. The main advantage of the new solution is its applicability over the more complex fracture/well configurations, some of which is studied in the paper.The new method has shown to provide a fast, robust, and reliable way to pressure transient analysis, and well performance prediction whenever complex well/fracture configuration is considered.IntroductionOver the past decades, different techniques were developed to solve single-phase, slightly-compressible flow problems in porous media where the fluid removal (injection) is from a complex well-fracture system. Most of these methods use the point source integrated over a line and/or a surface1.The major disadvantage of this method is the inherent singularity of the solution wherever the point source is placed. The method of Distributed Volumetric Sources (DVS) is developed to remove this limitation by assuming a source not in the form of a point but in the form of a rectilinear volume extended inside the surrounding rectilinear porous media. We will refer to this configuration as box-in-box.The 3-D pressure response of the system to an instantaneous source can be obtained --- by applying Newman's principle --- as a product of three 1-D pressure responses in each principal direction. The response of the system to a continuous source (production or injection) is obtained by numerically integrating the response of instantaneous source over time as it has been discussed, for instance, by Azar-Nejad et al.2, 3, The aim of this work is to:Develop the analytical solution of the box-in-box system to an instantaneous source.Validate the applicability and demonstrate the advantage of the new solution for well testing and production forecast of simple well and fracture models through the comparison of results with well-known existing solutions. Solutions to vertical wells with full and partial penetration, horizontal wells with uniform flux, finite and infinite conductivity, and vertically fractured wells with uniform flux, finite and infinite conductivity would be studied and compared with the new DVS results.Show the capabilities of the DVS method to handle more complicated well/fracture configurations. Cases with multiple transverse fractures with partial penetration and finite conductivity are presented. Keywords: hydraulic fracturing, strength, productivity index, conductivity, Upstream Oil & Gas, dimensionless time, pressure drop, Drillstem Testing, dimensionless productivity index, vertical fracture Subjects: Hydraulic Fracturing, Formation Evaluation & Management, Drillstem/well testing This content is only available via PDF. 2007. Society of Petroleum Engineers You can access this article if you purchase or spend a download." @default.
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• W4251745060 title "The Method of Distributed Volumetric Sources for Calculating the Transient and Pseudosteady-State Productivity of Complex Well-Fracture Configurations" @default.
• W4251745060 doi "https://doi.org/10.2523/106279-ms" @default.
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