Water-Coning Before Breakthrough - An Electronic Analog Treatment

Walter J. Karplus
1956 Transactions of the AIME  
By means of a finite difference expansion a fluid flow field in cylindrical coordinates with axial symmetry, is simulated by a network of electrical resistors. A series of DC analog computing units, connected to the network boundary corresponding to the free surface effectively adjust the network parameters to satisfy simultaneously Laplace's equation and the bcundary conditions. The system automatically "relaxes" to the correct boundary shape in a fraction of a second. A detailed application
more » ... the method to the water coning problem in oil wells is presented.
doi:10.2118/639-g fatcat:34ibdsnpv5bz7esaqjyksr7swi