## Exploration Activity: Analytical Modeling At Coso Geothermal Area (1980)

1) Characterize a magma source. 2) To conduct reservoir modeling of a steam reservoir.

1) Closed-form analytical solutions for the conduction heat transfer from various idealized magma geometries (dikes, sills, and spheres) are obtained using either the Schwarz-Christoffel transformation theorem (dikes and sills) or the ‘method of images’ with superposition (spheres). Comparison of these analytically determined heat flux distributions with field data from active geothermal areas at Yellowstone, Avachinsky volcano, Kilauea Iki, and the Coso geothermal area indicates that these fields may be conduction dominant over certain depths. 2) Modeling was undertaken to test the hypothesis that a steam-filled fracture geothermal reservoir exists at Coso Hot Springs. The reservoir proposed in this study was modeled at a cylindrical disk of radius 12,500 ft., height 5000 ft., depth 5000 ft., and steam-filled porosity of 5%.

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