Analytical Solutions for Multiple Matrix in Fractured Reservoirs: Application to Conventional and Unconventional Reservoirs
- Mehmet A. Torcuk (Colorado School of Mines) | Basak Kurtoglu (Marathon Oil Company) | Najeeb Alharthy (Colorado School of Mines) | Hossein Kazemi (Colorado School of Mines)
- Document ID
- Society of Petroleum Engineers
- SPE Journal
- Publication Date
- August 2013
- Document Type
- Journal Paper
- 969 - 981
- 2013. Society of Petroleum Engineers
- 4.1.5 Processing Equipment, 3.2.3 Hydraulic Fracturing Design, Implementation and Optimisation, 4.1.2 Separation and Treating
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In this paper, we present a new method to model heterogeneity and flowchanneling in petroleum reservoirs--especially reservoirs containinginterconnected microfractures. The method is applicable to both conventionaland unconventional reservoirs where the interconnected microfractures form themajor flow path. The flow equations, which could include flow contributionsfrom matrix blocks of various size, permeability, and porosities, are solved bythe Laplace-transform analytical solutions and finite- difference numericalsolutions. The accuracy of flow from and into nanodarcy matrix blocks is ofgreat interest to those dealing with unconventional reservoirs; thus, matrixflow equations are solved by use of both pseudosteady-state (PSS) andunsteadystate (USS) formulations and the results are compared. The matrixblocks can be of different size and properties within the representativeelementary volume (REV) in the analytical solutions, and within each controlvolume (CV) in the numerical solutions. Although the analytical solutions weredeveloped for slightly compressible rock/fluid linear systems, the numericalsolutions are general and can be used for nonlinear, multiphase, multicomponentflow problems. The mathematical solutions were used to analyze the longterm andshort-term performances of two separate wells in an unconventional reservoir.It is concluded that matrix contribution to flow is very slow in a typicallow-permeability unconventional reservoir and much of the enhanced productionis from the fluids contained in the microfractures rather than in the matrix.In addition to field applications, the mathematical formulations and solutionmethods are presented in a transparent fashion to allow easy usage of thetechniques for reservoir and engineering applications.
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