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http://dspace.mediu.edu.my:8181/xmlui/handle/1957/4813| Title: | Upscaling non-Darcy flow using mixed finite element method |
| Authors: | Malgorzata, Peszynska Showalter, Ralph Higdon, Robert Liburdy, James |
| Keywords: | Upscaling Mixed Finite Element Method |
| Issue Date: | 16-Oct-2013 |
| Description: | Graduation date: 2007 In this paper we develop an upscaling technique for non-Darcy flow in porous media. Non-Darcy model of flow applies to flow in porous media when large velocities occur. The well-posedness results for theory of quasilinear elliptic partial differential equations. To discretize the model we used lowest order Raviart-Thomas mixed finite element spaces. The resulting non-linear system is solved using fixed point iteration; we provide sufficient conditions for this iteration to converge. Then we formulate an upscaling method for non-Darcy flow extending a method by Durlofsky originally given for Darcy flow. The method computes effective coefficients which can be used to simulate the Darcy flow on a coarse grid. We compare numerical results for Darcy and non-Darcy flow and upscaling results for two scenarios; in all cases results apply to a problem with rate-specified wells. |
| URI: | http://koha.mediu.edu.my:8181/xmlui/handle/1957/4813 |
| Other Identifiers: | http://hdl.handle.net/1957/4813 |
| Appears in Collections: | ScholarsArchive@OSU |
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