Software for inductive impulse electrical prospecting
Sibirskij žurnal industrialʹnoj matematiki, Tome 9 (2006) no. 1, pp. 91-105.

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Some basic mathematical apparatus is considered for the electric prospecting by the method of electromagnetic field formation in the Earth. The Tikhonov method of solution is analyzed in detail.
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V. S. Mogilatov; A. V. Zlobinskii. Software for inductive impulse electrical prospecting. Sibirskij žurnal industrialʹnoj matematiki, Tome 9 (2006) no. 1, pp. 91-105. http://geodesic.mathdoc.fr/item/SJIM_2006_9_1_a7/

[1] Dmitriev V. I., “Obschii metod rascheta elektromagnitnogo polya v sloistoi srede”, Vychisl. metody i programmirovanie, 1968, no. 10, 55–65

[2] Tabarovskii L. A., Primenenie metoda integralnykh uravnenii v zadachakh geoelektriki, Nauka, Novosibirsk, 1975

[3] Vanyan L. L., Osnovy elektromagnitnykh zondirovanii, Nedra, M., 1965

[4] Ueit Dzh. R., Geoelektromagnetizm, Nedra, M., 1987

[5] Mogilatov V. S., “Induktivnyi, smeshannyi i galvanicheskii istochniki v elektrorazvedke stanovleniem polya”, Izv. RAN. Ser. Fizika Zemli, 1997, no. 12, 42–51

[6] Mogilatov V. S., “Vozbuzhdenie elektromagnitnogo polya v sloistoi Zemle gorizontalnym tokovym listom”, Izv. RAN. Ser. Fizika Zemli, 1998, no. 5, 45–53

[7] Sheinman S. M., “Ob ustanovlenii elektromagnitnykh polei v zemle”, Prikl. geofizika, 1947, no. 9, 3–55, Gostoptekhizdat, M.

[8] Tikhonov A. N., Skugarevskaya O. A., “O stanovlenii elektricheskogo toka v neodnorodnoi srede, II”, Izv. AN SSSR. Ser. geograf. i geofiz., 14:4 (1950), 281–293 | MR

[9] Tikhonov A. N., “O stanovlenii elektricheskogo toka v odnorodnom provodyaschem poluprostranstve”, Izv. AN SSSR. Ser. geograf. i geofiz., 10:3 (1946), 213–231

[10] Tabarovskii L. A., Sokolov V. P., “Programma rascheta nestatsionarnogo polya dipolnykh istochnikov v gorizontalno-sloistoi srede (ALEKS)”, Elektromagnitnye metody geofizicheskikh issledovanii, izd. IGiG SO AN SSSR, Novosibirsk, 1982, 57–77

[11] Anderson W. L., Improved digital filters for evaluating Fourier and Hankel transform integrals, U. S. Dept. of Commerce, Nat. Tech. Inform. Service Report PB-242-156, 1975

[12] Anderson W. L., “Computer program numerical integration of related Hankel transforms of orders 0 and 1 by adaptive digital filtering”, Geophysics, 44:7 (1979), 1287–1305 | DOI

[13] Anderson W. L., “Computation of Green's tensor integrals for three-dimensional electromagnetic problems using fast Hankel transforms”, Geophysics, 49:10 (1984), 1754–1759 | DOI

[14] Anderson W. L., “A hybrid fast Hankel transform algorithm for electromagnetic modelling”, Geophysics, 54:2 (1989), 263–266 | DOI

[15] Skugarevskaya O. A., “Raschet konechnoi stadii protsessa stanovleniya elektricheskogo polya v trekhsloinoi srede”, Izv. AN SSSR. Ser. geofiz., 1959, no. 1, 59–72

[16] Dmitriev V. I., Skugarevskaya O. A., Frolov P. P., Nekotorye voprosy metoda stanovleniya polya v blizhnei zone, Izd-vo MGU, M., 1973

[17] Prácser E., “Fast computing of transient electromagnetic field on the surface of a layered halfspace”, Geofizik. kozlemenyek, 37:2–3 (1992), 159–176

[18] Tikhonov A. N., “O stanovlenii elektricheskogo toka v neodnorodnoi sloistoi srede”, Izv. AN SSSR. Ser. geograf. i geofiz., 14:3 (1950), 199–222

[19] Goldman M. M., “The integral finite difference method for calculating transient electromagnetic fields in a horizontally stratified medium”, Geophys. Prospecting, 31:4 (1983), 664–686 | DOI

[20] Epov M. I., Eltsov I. N., “Relaksatsiya elektromagnitnogo polya dipolnogo istochnika v provodyaschem sloistom plaste, pogruzhennom v izolyator”, Geologiya i geofizika, 1991, no. 10, 126–129

[21] Tabarovskii L. A., Epov M. I., “Diskretnye spektry v zadachakh difraktsii nestatsionarnogo polya na plenkakh Sheinmana”, Izv. AN SSSR. Ser. Fizika Zemli, 1998, no. 9, 46–54

[22] Epov M. I., Eltsov I. N., Pryamye i obratnye zadachi induktivnoi geoelektriki v odnomernykh sredakh, izd. OGGiM SO RAN, Novosibirsk, 1992

[23] Mogilatov V. S., “Pozdnyaya stadiya stanovleniya elektromagnitnogo polya, vozbuzhdaemogo pogruzhennym elektricheskim dipolem”, Izv. AN SSSR. Ser. Fizika Zemli, 1976, no. 8, 103–107

[24] Goldman M. M., Mogilatov V. S., “Stanovlenie polya vertikalnogo elektricheskogo dipolya, pogruzhennogo v gorizontalno-sloistoe poluprostranstvo”, Teoriya i opyt primeneniya elektromagnitnykh polei v razvedochnoi geofizike, Sb. nauch. tr., IGiG SO AN SSSR, Novosibirsk, 1978, 123–138

[25] Rabinovich B. I., Mogilatov V. S., “Stanovlenie polya pogruzhennogo vertikalnogo magnitnogo dipolya”, Geologiya i geofizika, 1981, no. 3, 88–100 | MR

[26] Mogilatov V. S., “Ob odnom sposobe resheniya osnovnoi pryamoi zadachi elektrorazvedki ZS”, Geologiya i geofizika, 1993, no. 3, 108–117

[27] Kamke E., Spravochnik po obyknovennym differentsialnym uravneniyam, Nauka, M., 1976 | MR