Utilization of a hot dry rock geothermal resource requires circulation of a fluid (water) through fractures in the rock. The Los Alamos Scientific Laboratory is presently investigating the feasibility and economics of tapping this energy resource. Presently, the fractures in the rock are created by conventional hydraulic fracturing techniques. Accurate determination of the geometry of the fracture system is required so that boreholes may be drilled to complete the circulation system. The theory of a technique designed to map vertical conductive fractures located in resistive rock is presented. The technique is based on magnetic induction. Fracture thickness and strike can be determined from measurements made in a single borehole