Abstract

Publisher SummaryThis chapter discusses the three-dimensional groundwater flow. The chapter deals with the flow field theoretically extended to infinity in all three directions. General three-dimensional flow has components in three directions and has no point of symmetry as in spherical flow or a line of symmetry as in axial-symmetric flow. Finite flow in a direction is defined as flow between two boundaries, situated at a finite distance from each other, in almost all practical cases representing the top and the bottom of an aquifer. These boundaries are horizontal planes perpendicular to the vertical axis, chosen as z-axis. The chapter discusses the general three-dimensional groundwater flow in a semi-infinite or infinite field. General three-dimensional groundwater flow in a finite field is also discussed in the chapter. In this category there are no exact analytical solutions available for problems with so-called mixed boundary values, in contrast with problems in general two-dimensional flow with mixed boundary values, which may be solved by means of the method of conformal transformations.

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