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| inverse problems | |
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Early work on the mathematical problem in the 1930s assumed a layered medium (see for example Langer, Slichter). Tikhonov who is best known for his work on regularization of inverse problems also worked on this problem. He explains in detail how to solve the ERT problem in a simple case of 2-layered medium. During the 1940s he collaborated with geophyicists and without the aid of computers they discovered large deposits of copper. As a result they were awarded a State Prize of Soviet Union. When adequate computers became widely available the inverse problem of ERT could be solved numerically, and the work of Loke and Barker at Birmingham University was among the first such solution, and their approach is still widely used. Applications of ERT include mineral prospecting, monitoring of ground water flow and Archeology REFERENCES
Dokl. Acad. Nauk. SSSR, 69, 797-800, 1949. (in Russian)
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