| dc.contributor | Malgorzata, Peszynska | |
| dc.contributor | Showalter, Ralph | |
| dc.contributor | Higdon, Robert | |
| dc.contributor | Liburdy, James | |
| dc.date | 2007-05-09T22:45:52Z | |
| dc.date | 2007-05-09T22:45:52Z | |
| dc.date | 2007-03-08 | |
| dc.date | 2007-05-09T22:45:52Z | |
| dc.date.accessioned | 2013-10-16T07:47:58Z | |
| dc.date.available | 2013-10-16T07:47:58Z | |
| dc.date.issued | 2013-10-16 | |
| dc.identifier | http://hdl.handle.net/1957/4813 | |
| dc.identifier.uri | http://koha.mediu.edu.my:8181/xmlui/handle/1957/4813 | |
| dc.description | Graduation date: 2007 | |
| dc.description | 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. | |
| dc.language | en_US | |
| dc.subject | Upscaling | |
| dc.subject | Mixed Finite Element Method | |
| dc.title | Upscaling non-Darcy flow using mixed finite element method | |
| dc.type | Thesis |
| Files | Size | Format | View |
|---|---|---|---|
|
There are no files associated with this item. |
|||