Fractional radial-cylindrical diffusivity model for levels of heterogeneity in petroleum reservoirs
| Autor: | Isaac Kwame Dontwi, George Parker-Lamptey, Peter Amoako-Yirenkyi |
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| Rok vydání: | 2018 |
| Předmět: |
Radial
010504 meteorology & atmospheric sciences Continuous spectrum FOS: Physical sciences Physics - Classical Physics Thermal diffusivity 01 natural sciences lcsh:Petrology Linear form 0103 physical sciences Homogeneity (physics) Reservoir heterogeneity 010306 general physics Conservation of mass Inhibitory effect lcsh:Petroleum refining. Petroleum products 0105 earth and related environmental sciences Physics Diffusivity model Mathematical analysis Fractional calculus lcsh:QE420-499 Classical Physics (physics.class-ph) Geotechnical Engineering and Engineering Geology Petroleum reservoir General Energy Homogeneous lcsh:TP690-692.5 |
| Zdroj: | Journal of Petroleum Exploration and Production Technology, Vol 8, Iss 2, Pp 485-494 (2017) |
| DOI: | 10.48550/arxiv.1808.07420 |
| Popis: | The generalized Taylor’s Formula is used to derive a fractional radial-cylindrical diffusivity model via a fractional conservation of mass in radial geometry in a petroleum reservoir. The result is a space-fractional generalization of the diffusivity model with an arbitrary order that explains the degree of heterogeneity of the medium (a continuous spectrum of zero to one where zero heterogeneity equates to homogeneity). An implicit unconditionally stable numerical difference scheme of the linear form of the derived model is used to illustrate deviations of the model from the homogeneous medium. The variation of the order produces additional localized pressure drops during flow which is congruous with fluid inhibition effect of heterogeneities. |
| Databáze: | OpenAIRE |
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