AN ELECTRICAL RESISTANCE NETWORK SOLVING DRAINAGE PROBLEMS

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Abstract
A resistance network (voltage analyzer) consisting of 374 rheostats is described. This resistance network is capable of solving Laplace''s equation and hence is of use in analyzing drainage problems. Technics are described for the simulation of a variety of boundary conditions, including impermeable boundaries, points less than a full net interval from a boundary, points on an interface between layers of different permeability, points near an interface between layers of different permeability, location of streamlines, surfaces of seepage, and location of a curvilinear water table or free water surface from a set of double boundary conditions. Extension of the net and accuracy of results are also discussed. The problem of drainage of land underlain with a more permeable stratum is examined with the resistance network. The maximum flow to the tile line occurs when the line is laid in the more permeable strata. For the case examined, the tile line strata must be 5.5 times as permeable as the surface soil to produce twice the flow that would occur in a homogeneous soil.

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