Journal of Hydrology, 58 (1982) 111--121 111 Elsevier Scientific Publishing Company, Amsterdam -- Printed in The Netherlands [41 ON THE FLOW OF FLUID IN THE WEDGED ANISOTROPIC POROUS DOMAIN G.K. FALADE Department of Petroleum Engineering, University of Ibadan, Ibadan (Nigeria) (Received March 10, 1981; accepted for publication June 19, 1981) ABSTRACT Falade, G.K., 1982. On the flow of fluid in the wedged anisotropic porous domain. J. Hydrol., 58: 111--121. Solutions to the problem of fluid flow in an anisotropic porous domain, wedged by two vertical planes were developed. The solutions are applicable to all wedge angles as distinct from similar solutions generated from use of image technique which are of re- stricted applications. The solutions presented can also be interpreted from the viewpoint of the source func- tions thus opening an effective means of solving fluid flow problems in a wide variety of porous domains with varying angular sections. INTRODUCTION Analysis of the potential distribution function due to an active source within a wedged porous domain is usually carried out by the application of source imaging across boundaries of permeability discontinuities (Vanden- berg and Lennox, 1973). For accuracy and completeness, this technique requires that the angle 47r be an integer multiple of the wedge angle; a con- dition rarely met in real-life situations. The implication of this is that a frac- tional image may have to be entertained if the analysis is to be complete. This weakness of the imaging technique may not be very important when the wedge angle is small and the functional representations of the image sources are rapidly convergent. For large wedge angles, however, the problem of the fractional image may become more difficult to handle. Also, there is the serious possibility that an image location may fall within the primary flow field particularly when the wedge angle is given as (nTr/m) where n and rn are positive integers greater than unity and prime to each other (Sommerfield 1897). For such cases, the imaging technique will completely fail because a point of singularity other than the objective source is located within the primary flow field. The purpose of this study is to develop a solution which will completely 0022-1694/82/0000---0000/$02.75 © 1982 Elsevier Scientific Publishing Company