Journal of the Nigerian Association of Mathematical Physics

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Weighting factor for instantaneous source functions of a permeable interface

ES Adewole


Instantaneous source functions for a layered reservoir with crossflow
interface cannot be selected from already existing source functions, if the effects of the interface is to be accounted for. It is therefore necessary to modify the already existing source function. Hence, in this paper, already existing instantaneous source or Green’s function is modified to account for the effect of a crossflow interface in a layered reservoir. A multiplicative weighting factor, E, is obtained which shows constant behaviour at late dimensionless flow times for a particular set of well and reservoir
dimensionless parameters. Computation of dimensionless pressures using the factor shows conformity with expected behaviour for a layered reservoir with crossflow interface.

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