Abstract
Several in situ processes involve flow through porous media to a sink with complex geometry described approximately by a vertical cylinder attached at the side to a very thin slit; for example, a single fracture which intersects a well bore. Laplace's equation for this case is solved exactly through three successive conformal mappings. The flow rate to the cylinder and the slit is cast into a simple form requiring the transformation of only a single point, thus circumventing the need to transform the entire original boundaries. This analysis is applied to a prediction of water influx by permeation into the cavity-link geometry found in underground coal gasification. This permits determination of the effect of water influx on process chemistry.
Original language | English |
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Pages (from-to) | 15-40 |
Number of pages | 26 |
Journal | In Situ |
Volume | 12 |
Issue number | 1-2 |
Publication status | Published - Mar 1988 |
Externally published | Yes |