Unique Solvability of the Three-Dimensional Inverse Problem of Electromagnetic Sounding
Tóm tắt
The article considers a three-dimensional inverse problem to determine the conductivity distribution in a three-dimensional body embedded in a layered conducting medium. A uniqueness theorem is proved for the class of layered bodies with finitely many layers where conductivity is observed only in the direction of the layer.
Tài liệu tham khảo
A. N. Tikhonov, “Unique solvability of electrical prospecting problems,” Dokl. Akad. Nauk., 69, No. 6, 797–800 (1949).
A. N. Tikhonov, “Mathematical substantiation of electromagnetic sounding theory,” ZhVMiMF, 5, No. 3, 545–547.
V. I. Dmitriev, “Unique solvability of the inverse problem of electromagnetic sounding of layered media,” Izv. RAN¸ Fizika Zemli, No. 6, 30–34 (1994).
A. L. Gusarov, “On unique solvability of the inverse problem of magnetotelluric sounding for two-dimensional media,” in: Mathematical Models in Geophysics [in Russian], Izd. MGU, Moscow (1981), pp. 31–60.
V. I. Dmitriev, “Two-dimensional inverse problem of magnetotelluric sounding in a nonhomogeneous medium,” Prikl. Matem. Informat., No. 56 (2017).