geolmsuВЕСТНИК МОСКОВСКОГО УНИВЕРСИТЕТА. СЕРИЯ 4. ГЕОЛОГИЯMoscow University Bulletin. Series 4. Geology0579-9406Издательский Дом МГУ10.33623/0579-9406-2022-4-138-148geolmsu-502Research ArticleСтатьиПереходный импеданс емкостных электродов и стелющихся линийTransfer impedance of capacitive electrodes and insulated wires on the ground surfacehttps://orcid.org/0000-0001-7245-216XЗоринН. И.ZorinN. I.

Никита Игоревич Зорин

Москва

Nikita I. Zorin

Moscow

 

nikita.zorin.geophys@gmail.comБобачевА. А.BobachevA. A.

Алексей Анатольевич Бобачев

Москва

Alexey A. Bobachev

Moscow

bobachev@gmail.comООО «Северо-Запад»РоссияNord-West LtdRussian FederationМосковский государственный университет имени М.В. ЛомоносоваРоссияLomonosov Moscow State UniversityRussian Federation20221512202204138148Copyright © Зорин Н.И., Бобачев А.А., 20222022Зорин Н.И., Бобачев А.А.Zorin N.I., Bobachev A.A.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://vestnik.geol.msu.ru/jour/article/view/502

Приведена уточненная за влияние краевых эффектов формула емкости тонкого диска над проводящей плоскостью и предложен ряд обобщенных формул для оценки переходного импеданса емкостных электродов над землей с конечной удельной проводимостью. Показано, что переходный импеданс стелющейся линии в широком частотном диапазоне описывается формулой Коула–Коула с показателем степени 0,9–1.

The article presents corrected for the edge effects formula for the capacitance of a thin disk over a conducting plane, and offers a number of generalized expressions for assessing the transfer impedance of capacitive electrodes over ground with finite conductivity. It is shown that the transfer impedance of an insulated wire on the ground in a wide frequency range is described by the Cole-Cole formula with an exponent parameter from 0.9 to 1.

емкость дискасопротивление заземленияконтактный импедансdisc capacitancegrounding resistancecontact impedanceReferencesБурсиан В.Р. Теория электромагнитных полей, применяемых в электроразведке. 2-е изд., испр. и доп. Л.: Недра, 1972. 368 с.Бурсиан В.Р. Теория электромагнитных полей, применяемых в электроразведке. 2-е изд., испр. и доп. Л.: Недра, 1972. 368 с.Вешев А.В. Электропрофилирование на постоянном и переменном токе. 2-е изд., перераб. и доп. Л.: Недра, 1980. 391 с.Вешев А.В. Электропрофилирование на постоянном и переменном токе. 2-е изд., перераб. и доп. Л.: Недра, 1980. 391 с.Нахабцев А.С., Сапожников Б.Г., Яблучанский А.И. Электропрофилирование с незаземленными рабочими линиями. Л.: Недра, 1985. 96 с.Нахабцев А.С., Сапожников Б.Г., Яблучанский А.И. Электропрофилирование с незаземленными рабочими линиями. Л.: Недра, 1985. 96 с.Тимофеев В.М. Применение электропрофилирования с линейными емкостными антеннами для целей инженерно-геокриологической съемки: Автореф. канд. дисс. М., 1979.Тимофеев В.М. Применение электропрофилирования с линейными емкостными антеннами для целей инженерно-геокриологической съемки: Автореф. канд. дисс. М., 1979.Aleksanova E., Kulikov V., Shustov N., Yakovlev A. Aleksandrovka geophysical field camp: a place for probing new EM technologies // Pap. presented at the 24th EM Induction Workshop, Helsingor, Denmark, 13–20 Aug., 2018.Aleksanova E., Kulikov V., Shustov N., Yakovlev A. Aleksandrovka geophysical field camp: a place for probing new EM technologies // Pap. presented at the 24th EM Induction Workshop, Helsingor, Denmark, 13–20 Aug., 2018.Chave A.D., Jones A.G. The magnetotelluric method: Theory and practice. Cambridge University Press, 2012. 584 p. Cole K.S., Cole R.H. Dispersion and absorption in dielectrics // J. Chem. Physics. 1941. Vol. 9. P. 341–351.Chave A.D., Jones A.G. The magnetotelluric method: Theory and practice. Cambridge University Press, 2012. 584 p. Cole K.S., Cole R.H. Dispersion and absorption in dielectrics // J. Chem. Physics. 1941. Vol. 9. P. 341–351.Dashevsky Yu.A., Dashevsky O.Yu., Filkovsky M.I., Synakh V.S. Capacitance sounding: a new geophysical method for asphalt pavement quality evaluation // J. Applied Geophysics. 2005. Vol. 57. P. 95–106.Dashevsky Yu.A., Dashevsky O.Yu., Filkovsky M.I., Synakh V.S. Capacitance sounding: a new geophysical method for asphalt pavement quality evaluation // J. Applied Geophysics. 2005. Vol. 57. P. 95–106.Falco S., Panariello G., Schettino F., Verolino L. Capacitance of a finite cylinder // Electrical Engineering. 2003. Vol. 85. P. 177–182.Falco S., Panariello G., Schettino F., Verolino L. Capacitance of a finite cylinder // Electrical Engineering. 2003. Vol. 85. P. 177–182.Grard R., Tabbagh A. A mobile four-electrode array and its application to the electrical survey of planetary grounds at shallow depths // J. Geophys. Res. 1991. Vol. 96, B3. P. 4117–4123.Grard R., Tabbagh A. A mobile four-electrode array and its application to the electrical survey of planetary grounds at shallow depths // J. Geophys. Res. 1991. Vol. 96, B3. P. 4117–4123.Gruzdev A.I., Bobachev A.A., Shevnin V.A. Determining the field of application of the noncontact resistivity technique // Moscow University Geol. Bull. 2020. Vol. 75, N 6. P. 644–651.Gruzdev A.I., Bobachev A.A., Shevnin V.A. Determining the field of application of the noncontact resistivity technique // Moscow University Geol. Bull. 2020. Vol. 75, N 6. P. 644–651.Hordt A., Weidelt P., Przyklenk A. Contact impedance of grounded and capacitive electrodes // Geophys. J. Intern. 2013. Vol. 193. P. 187–196.Hordt A., Weidelt P., Przyklenk A. Contact impedance of grounded and capacitive electrodes // Geophys. J. Intern. 2013. Vol. 193. P. 187–196.Jackson J.D. Charge density on thin straight wire, revisited // Amer. J. Physics. 2000. Vol. 68, N9. P. 789–799.Jackson J.D. Charge density on thin straight wire, revisited // Amer. J. Physics. 2000. Vol. 68, N9. P. 789–799.Kaufman A.A., Anderson B.I. Principles of electric methods in surface and borehole geophysics. Elsevier Science, 2010. 456 p.Kaufman A.A., Anderson B.I. Principles of electric methods in surface and borehole geophysics. Elsevier Science, 2010. 456 p.Kuras O., Beamish D., Meldrum P.I., Ogilvy R.D. Fundamentals of the capacitive resistivity technique // Geophysics. 2006. Vol. 71, N 3. P. 135–152.Kuras O., Beamish D., Meldrum P.I., Ogilvy R.D. Fundamentals of the capacitive resistivity technique // Geophysics. 2006. Vol. 71, N 3. P. 135–152.Landau L.D., Lifshitz M.E. Electrodynamics of continuous media. London: Pergamon Press, 1960. 417 p.Landau L.D., Lifshitz M.E. Electrodynamics of continuous media. London: Pergamon Press, 1960. 417 p.Nordsiek S., Weller A. A new approach to fitting induced-polarization spectra // Geophysics. 2008. Vol. 73, N 6. P. F235–F245.Nordsiek S., Weller A. A new approach to fitting induced-polarization spectra // Geophysics. 2008. Vol. 73, N 6. P. F235–F245.Ollendorf F. Erdstrome. Grundlagen der Erdschluss (Earth Currents. Grounding Theory). Berlin: Springer, 1928. 264 p.Ollendorf F. Erdstrome. Grundlagen der Erdschluss (Earth Currents. Grounding Theory). Berlin: Springer, 1928. 264 p.Patella D. On the role of the J-E constitutive relationship in applied geoelectromagnetism // Ann. Geophysics. 2003. Vol. 46, N 3. P. 589–597.Patella D. On the role of the J-E constitutive relationship in applied geoelectromagnetism // Ann. Geophysics. 2003. Vol. 46, N 3. P. 589–597.Pelton W.H., Sill W.R., Smith B.D. Interpretation of complex resistivity and dielectric data, Part I // Geophys. Transactions. 1983. Vol. 29, N 4. P. 297–330.Pelton W.H., Sill W.R., Smith B.D. Interpretation of complex resistivity and dielectric data, Part I // Geophys. Transactions. 1983. Vol. 29, N 4. P. 297–330.Przyklenk A., Hordt A., Radic T. Capacitively coupled resistivity measurements to determine frequency-dependent electrical parameters in periglacial environment — theoretical considerations and first field tests // Geophys. J. Intern. 2016. Vol. 206. P. 1352–1365.Przyklenk A., Hordt A., Radic T. Capacitively coupled resistivity measurements to determine frequency-dependent electrical parameters in periglacial environment — theoretical considerations and first field tests // Geophys. J. Intern. 2016. Vol. 206. P. 1352–1365.Sakurai T., Tamaru K. Simple formulas for twoand three-dimensional capacitances // IEEE Transactions on Electronic Devices. 1983. Vol. ED-30, N 2. P. 183–185.Sakurai T., Tamaru K. Simple formulas for twoand three-dimensional capacitances // IEEE Transactions on Electronic Devices. 1983. Vol. ED-30, N 2. P. 183–185.Shima H., Sakashita S., Kobayashi T. Developments of noncontact data acquisition techniques in electrical and electromagnetic explorations // J. Appl. Geophysics. 1996. Vol. 35. P. 167–173.Shima H., Sakashita S., Kobayashi T. Developments of noncontact data acquisition techniques in electrical and electromagnetic explorations // J. Appl. Geophysics. 1996. Vol. 35. P. 167–173.Shuey R.T., Johnson M. On the phenomenology of electrical relaxation in rocks // Geophysics. 1973. Vol. 38, N 1. P. 37–48.Shuey R.T., Johnson M. On the phenomenology of electrical relaxation in rocks // Geophysics. 1973. Vol. 38, N 1. P. 37–48.Shlykov A., Saraev A., Tezkan B. Study of a permafrost area in the northern part of Siberia using controlled source radiomagnetotellurics // Pure and Appl. Geophys. 2020. Vol. 177. P. 5845–5859.Shlykov A., Saraev A., Tezkan B. Study of a permafrost area in the northern part of Siberia using controlled source radiomagnetotellurics // Pure and Appl. Geophys. 2020. Vol. 177. P. 5845–5859.Smythe W.R. Static and dynamic electricity. 2nd edition. N.Y.: McGRaw-Hill, 1950. 616 p.Smythe W.R. Static and dynamic electricity. 2nd edition. N.Y.: McGRaw-Hill, 1950. 616 p.Wait J.R. Geo-Electromagnetism. N.Y.: Acad. Press, 1982. 278 p.Wait J.R. Geo-Electromagnetism. N.Y.: Acad. Press, 1982. 278 p.Zonge K.L., Hughes L.J. Effect of electrode contact resistance on electric field measurements // Expanded Abstr. 1985 Technical Programme of 55th Ann. Intern. SEG Meeting, contrib. MIN 1.5. 1985. Tulsa, OK. P. 231–234.Zonge K.L., Hughes L.J. Effect of electrode contact resistance on electric field measurements // Expanded Abstr. 1985 Technical Programme of 55th Ann. Intern. SEG Meeting, contrib. MIN 1.5. 1985. Tulsa, OK. P. 231–234.Zorin N. Spectral induced polarization of low and moderately polarizable buried objects // Geophysics. 2015. Vol. 80, N 5. P. E267–E276.Zorin N. Spectral induced polarization of low and moderately polarizable buried objects // Geophysics. 2015. Vol. 80, N 5. P. E267–E276.Zorin N.I., Yakovlev A.G. A hybrid receiving line for measuring the electric field in a wide frequency band // Moscow University Geol. Bull. 2021. Vol. 76, N 6. P. 54–60.Zorin N.I., Yakovlev A.G. A hybrid receiving line for measuring the electric field in a wide frequency band // Moscow University Geol. Bull. 2021. Vol. 76, N 6. P. 54–60.

The authors declare that there are no conflicts of interest present.