References

gyroscopy

Гироскопия и навигация

Giroskopiya i Navigatsiya / Gyroscopy and Navigation

0869-70352075-0927

AO «Концерн «ЦНИИ «Электроприбор»

10.17285/0869-7035.2016.24.3.096-114

gyroscopy-366

Research Article

Статьи

Состояние разработок бортовых гравитационных градиентометров

Onboard gravity gradiometers: current state of development

Евстифеев

М. И.

Evstifeev

M. I.

Евстифеев Михаил Илларионович, доктор технических наук, начальник отдела; профессор кафедры. Действительный член общественного объединения «Академия навигации и управления движением».

АО «Концерн «ЦНИИ «Электроприбор»; Университет ИТМО (С.-Петербург).РоссияConcern CSRI Elektropribor, JSC, St. PetersburgRussian Federation

2016

03122025

24396114

2025

Евстифеев М.И.

Evstifeev M.I.

Данная работа распространяется под лицензией Creative Commons Attribution 4.0.

This work is licensed under a Creative Commons Attribution 4.0 License.

https://www.gyroscopy.ru/jour/article/view/366

Рассмотрено состояние разработок бортовых гравитационных градиентометров при поиске полезных ископаемых, при выполнении космических миссий, обсуждаются результаты их эксплуатации. Рассмотрены варианты построения градиентометров с использованием атомной интерферометрии. Намечены перспективы развития гравитационной градиентометрии для различных областей использования.

The paper presents the current state of development of onboard gravity gradiometers applied in mineral exploration and space missions; the results of their operation are discussed. Gradiometer designs using atom interferometry are considered. Prospects of gravity gradiometry for various applications are outlined.

Тензорный гравитационный градиентометрвторые производные геопотенциалаатомный интерферометр.

Tensor gravity gradiometersecond derivatives of geopotentialatom interferometer.

References1

DiFrancesco, D., Balmino, G., Johannessen, J., Visser, P., and Woodworth, P., Gravity Gradiometry – Today and Tomorrow, 11th SAGA Biennial Technical Meeting and Exhibition Swaziland, September 2009, pp. 80-83.

Nerem, R., Jekeli, C., and Kaula, W., Gravity Field Determination and Characteristics: Retrospective and Prospective, Geophysical Research, 1995, vol.100, №B8, pp.15,053-15,074.

Вольфсон, Г.Б. Состояние и перспективы развития гравитационной градиентометрии // Применение гравиинерциальных технологий в геофизике. – СПб.: ГНЦ РФ – ЦНИИ «Электроприбор», 2002. – С.90-105. (Vol’fson, G.B., State and Perspectives of Gravity Gradiometry, in Primenenie graviinertsial’nykh tekhnologii v geofizike (Gravity-Inertial Technologies in Geophysics), Collected articles and papers, CSRI Elektropribor, St. Petersburg, 2002, pp. 90-105).

Васин М.Г., Попков Д.И. Современные задачи бортовой гравитационной градиентометрии // В кн. Гравиметрия и геодезия (отв. ред. Б.В. Бровара). – М.: Научный мир, 2010. – С.570-584. (Vasin, M.G. and Popkov, D.I., Current Problems of Onboard Gravity Gradiometry, in Gravimetriya i geodeziya (Gravimetry and Geodesy), Brovar, B.V., Ed., Moscow: Nauchnyi mir, 2010, pp. 570-584).

Jekeli, C., 100 Years of Gravity Gradiometry, Lecture presented in Geological Science 781, Gravimetry, 27 November 2007.

Nabighian, M.N., Ander, M.E.,. Grauch, V.J.S, Hansen, R.O., LaFehr, T.R., Li, Y., Pearson, W.C., Peirce, J.W., Phillips, J.D., and Ruder, M.E., 75th Anniversary. Historical development of the gravity method in exploration, Geophysics, 2005, vol. 70, No. 6, pp. 63ND–89ND.

Сорока А.И. О разработках бортовых измерителей вторых производных гравитационного потенциала // В кн. Гравиметрия и геодезия (отв. ред. Б.В. Бровара). – М.: Научный мир, 2010. – С. 300-310.(Soroka, A.I., On the Development of Onboard Meters of Geopotential Second Derivatives, in Gravimetriya i geodeziya (Gravimetry and Geodesy), Brovar, B.V., Ed., Moscow: Nauchnyi mir, 2010, pp. 300-310).

Пешехонов, В.Г. Задачи подводной навигации / В.Г. Пешехонов // Морской сборник. – 2006. – №10. – С.22-24. (Peshekhonov, V.G., Underwater Navigation Problems, Morskoi Sbornik, 2006, no.10, pp. 22-24).

Джанджгава Г.И., Августов Л.И. Проблемы навигации по пространственным полям. Результаты исследований // Материалы VI российской научно-технической конференции «Современное состояние и проблемы навигации и океанографии» НО-2007, ГНИНГИ, СПб, 2007, С.43-49. (Dzhandzhgava, G.I. and Avgustov, L.I., Map-Aided Navigation Problems. Results of Investigations, Proc. of the 6th Russian Scientific and Technical Conference “Sovremennoe sostoyanie i problemy navigatsii i okeanografii” (Modern State and Problems of Navigation and Oceanography), NO-2007, GNINGI, St. Petersburg, 2007, pp. 43-49).

Dransfield, M., Airborne Gravity Gradiometry in the Search for Mineral Deposits, Proceedings of Exploration 07: Fifth Decennial International Conference on Mineral Exploration, 2007, pp. 341-354.

DiFrancesc, D., Advances and Challenges in the Development and Deployment of Gravity Gradiometer Systems, EGM 2007 International Workshop Innovation in EM, Grav and Mag Methods: a new Perspective for Exploration, Capri, Italy, April 15 – 18, 2007.

Albertella, A., Migliaccio, F., and Sansó, F., GOCE: The Earth Gravity Field by Space Gradiometry, Celestial Mechanics and Dynamical Astronomy, May 2002, Volume 83, Issue 1-4, pp 1-15.

Rummel, R., Balmino, G., Johannessen, J., Visser, P., and Woodworth, P., Dedicated gravity field missions – principles and aims, Journal of Geodynamics, 2002, №33, pp. 3–20.

Touboul, P., Foulon, B., Christophe, B., and Marque, J.P., CHAMP, GRACE, GOCE Instruments and Beyond, Geodesy for Planet Earth, International Association of Geodesy Symposia 136, 2012, pp. 215-221.

Freeden, W., Michel, V., and Nutz, H., Satellite-to-satellite tracking and satellite gravity gradiometry, Journal of Engineering Mathematics, 2002, №43, pp. 19–56.

Iafolla, V., Nozzoli, S., and Fiorenza, E., One axis gravity gradiometer for the measurement of Newton’s gravitational constant G, Physics Letters, 2003, № A 318, pp.223–233.

Kasevich, M., Donnelly, C., and Overstreet, C., Prospects for Improved Accuracy in the Determination of G using Atom Interferometry, Depts. of Physics, Applied Physics and EE Stanford University, 2014.

Paik, H., Tests of general relativity in Earth orbit using a superconducting gravity gradiometer, Advances in Space Research, 1989, №9, pp.41-50.

Огородова Л.В. Высшая геодезия. Часть III. Теоретическая геодезия: Учебник для вузов. – М.: Геодезкартиздат, 2006. – 384 с. (Ogorodova, L.V., Vysshaya geodesia. Part 3. Teoreticheskaya geodesiya (Higher Geodesy. Theoretical Geodesy), Moscow: Geodesy, 2006).

Пешехонов В.Г., Несенюк Л.П., Старосельцев Л.П., Элинсон Л.С. Судовые средства измерения параметров гравитационного поля Земли. – Л.: ЦНИИ «Румб», 1989. – 90 с. (Peshekhonov, V.G., Nesenyuk, L.P., Starosel’tsev, L.P., and Elinson, L.S., Sudovye sredstva izmereniya parametrov gravitatsionnogo polya Zemli (Shipborne Aids Measuring the Parameters of the Earth Gravity Field), Leningrad: Rumb, 1989).

Mumaw G. Marine 3D Full Tensor Gravity Gradiometry. The first five years // Hydro International, September 2004. – pp.38-41.

Старосельцев Л.П. Анализ требований к системе гироскопической стабилизации гравитационного градиентометра // Гироскопия и навигация. – 1995. – №3. – С.30-33. (Starosel’tsev, L.P., Analysis of Requirements to Gyroscopic Stabilization System of Gravity Gradiometer, Giroskopiya i Navigatsiya, 1995, №3, pp. 30-33).

Несенюк Л.П. Определение уклонений отвесных линий с помощью инерциальных навигационных систем / Л.П. Несенюк, Л.П. Старосельцев, Л.Н. Бровко // Вопросы кораблестроения. Серия «Навигация и гироскопия». – 1980. – №46. – С.16-22. Из книги: Памяти профессора Л.П. Несенюка. Избранные труды и воспоминания. – СПб: 2010. – С.63-68. (Nesenyuk, L.P., Starosel’tsev, L.P., and Brovko, L.N., Determination of Deflection of Verticals using Inertial Navigation Systems, Voprosy Korablestroeniya. Seriya “Navigatsiya i Giroskopiya”, 1980, no. 46, pp.

-22. From the book Pamyati professora L.P. Nesenyuka. Izbrannye trudy i vospominaniya (In Memory of Professor Nesenyuk. Selected Works and Memories), St. Petersburg, 2010, pp. 63-68.)

Малеев П.И., Капустин И.В. Средства навигации стратегических подводных лодок зарубежных стран // Материалы VI российской научно-технической конференции «Современное состояние и проблемы навигации и океанографии» НО-2007, ГНИНГИ, СПб, 2007, С.132-139. (Maleev, P.I. and Kapustin, I.V., Navigation Aids of Foreign Strategic Submarines, in Proc. of the 6th Russian Scientific and Technical Conference “Sovremennoe sostoyanie i problemy navigatsii i okeanografii” (Modern State and Problems of Navigation and Oceanography), NO-2007, GNINGI, St. Petersburg, 2007, pp. 132-139).

Gerber, M.A., Gravity Gradiometry: Something New in Inertial Navigation, Astronautics and Aeronautics, 1978, vol.16, pp.18-26.

Trageser, M., Floated Gravity Gradiometer, Proceedings of IEEE Transactions on Aerospace and Electronic Systems, 1984, vol. 20, no. 4.

Пешехонов, В.Г., Вольфсон Г.Б. Решение проблемы создания гравитационного вариометра для работы на подвижном основании //ДАН. – 1996. – т.351, №6. – С.766-768. (Peshekhonov, V.G. and Vol’fson, G.B., Solution to the Problem of Designing a Gravity Variometer for Operationon a Moving Platform, Doklady Akademii Nauk, 1996, vol. 351, no. 6, pp. 766-768).

Вольфсон Г.Б. Пути решения проблемы создания бортового гравитационного вариометра: дис….докт.техн.наук. 05.11.03 / Г.Б. Вольфсон. – СПб, 1997. – 265 с. (Volfson, G.B., Methods to Solve the Problem of Creating an Onboard Gravity Variometer, D. Sci. Dissertation, 05.11.03, St. Petersburg, 1997).

Красовский, А.А. Пути создания бортовых ротационных гравитационных градиентометров // Оборонная техника. – 1983. – №6. – С. 52-57. (Krasovskii, A.A., Methods to Create Onboard Rotation Gravity Gradiometers, Oboronnaya Tekhnika, 1983, no. 6, pp. 52-57).

Августов Л.И., Сорока А.И. Бортовой гравивариометр. Опыт разработки и результаты стендовых испытаний // Мехатроника, автоматизация, управление, 2009, №3, С.51-56. (Avgustov, L.I. and Soroka, A.I., Onboard Gravity Variometer. Development Experience and Bench Test Results, Mekhatronika, Avtomatizatsiya, Upravlenie, 2009, no. 3, pp. 51-56).

Корчак В., Тужиков Е., Бочаров Л. Американская программа «Критические военные технологии». Характеристика и анализ содержания // Электроника. Наука. Технология. Бизнес. – 2013. – №5. – С.134-148. (Korchak, V., Tuzhikov, E., and Bocharov, L., American Program “Critical Defence Technologies”. Characteristics and Contents Analysis, Elektronika. Nauka. Tekhnologiya. Biznes, 2013, no. 5, pp. 134-148).

.DeGregoria, A., Gravity Gradiometry and Map Matching: And Aid to Aircraft Inertial Navigation Systems, MS Degree Thesis, Air Force Institute of Technology, 2010, p.130.

Lee, J., Kwon, J.H., and Yu, M., Performance Evaluation and Requirements Assessment for Gravity Gradient Referenced Navigation, Sensors, 2015, vol. 15, pp. 16833-16847.

Richeson, J.A., Gravity Gradiometer Aided Inertial Navigation within NON-GNSS Environments, PhD Dissertation, University of Maryland, 2008.

Welker, T.C., Pachter, M., and Huffman, R.E., Gravity Gradiometer Integrated Inertial Navigation, Proceedings of 2013 European Control Conference (ECC), July 17-19, 2013, Zürich, Switzerland, pp. 846-851.

Bell, R.E., Gravity Gradiometry. A formerly classified technique used to navigate ballistic-missile submarines now helps geologists search for resources hidden underground, Scientific American, June 1998, pp. 74-79.

Annecchione, M.A., Moody, M.V., Carroll, K.A., Dickson, D.B., and Main, B.W., Benefits of a High Performance Airborne Gravity Gradiometer for Resource Exploration, Proceedings of Exploration 07: Fifth Decennial International Conference on Mineral Exploration, 2007, pp. 889-893.

Mims, J., Selman, D., Dickinson, J., Murphy, C., Mataragio, J., and Jorgensen, G., Comparison Study between Airborne and Ship-borne Full Tensor Gravity Gradiometry (FTG) Data, SEG Houston 2009 International Exposition and Annual Meeting, 2009, pp. 942-946.

McBarnet, A., Gravity Gradiometry Has Graduated! OE Digital Edition, 2013. URL: http://www.oedigital.com/geoscience/item/3201-gravity-gradiometry-has-graduated.

DiFrancesco, D., Gravity Gradiometry Developments at Lockheed Martin, EGS - AGU - EUG Joint Assembly, Abstracts from the meeting held in Nice, France, April 2003, abstract #1069.

Murphy, C.A., Recent Developments with Air-FTG®, Airborne Gravity 2010, Abstracts from the ASEG-PESA Airborne Gravity 2010 Workshop: Australia, 2010, pp. 142-151.

Dransfield, M., Le Roux, T., and Burrows, D., Airborne Gravimetry and Gravity Gradiometry at Fugro Airborne Surveys, Airborne Gravity 2010 - Abstracts from the ASEG-PESA Airborne Gravity 2010 Workshop: Australia, 2010, pp. 49-57.

Dransfield, M. and Christensen, A.N., Performance of Airborne Gravity Gradiometers, The Leading Edge, August 2013, рр. 908-922.

Christensen, A.N., Dransfield, M.H., and Van Galder, C., Noise and Repeatability of Airborne Gravity Gradiometry, First break, April 2015, vol.33, pp. 55-63.

Jekeli, C., Accuracy Requirements in Position and Attitude for Airborne Vector Gravimetry and Gradiometry, Gyroscopy and Navigation, 2011, vol. 2, no. 3, pp. 164–169.

Jekeli, C., Airborne Gradiometry Error Analysis, in Surveys in Geophysics, 2006, pp. 257–275.

Dransfield, M., Advances in Airborne Gravity Gradiometry at Fugro Airborne Surveys, Proceedings of EGM 2010 International Workshop. Adding new value to Electromagnetic, Gravity and Magnetic Methods for Exploration, Capri, Italy, April 11-14, 2010.

Lumley, J.M., White, J.P., Barnes, G., Huang, D., and Paik, H.J., A Superconducting Gravity Gradiometer Tool for Exploration, Proceedings of the Society of Exploration Geophysics Meeting, San Antonio, September 2001.

Matthews, R., Mobile Gravity Gradiometry, PhD Dissertation, University of Western Australia, 2002.

Van Leeuwen, E., Three Years of Practical Use of Airborne Gravity Gradiometer, Geophysical Research Abstracts, 2003, vol. 5, p.22.

Tryggvason, B., Main, B., and French, B., A High Resolution Airborne Gravimeter and Airborne Gravity Gradiometer, Proceedings of Airborne Gravity 2004 Workshop, 2004, рр. 41-47.

Anstie, J., Aravanis, T., Johnston, P., Mann, A., Longman, M., Sergeant, A., Smith, R., Van Kann, F., Walker, G., Wells, G., and Winterflood, J., Preparation for Flight Testing the VK1 Gravity Gradiometer, Airborne Gravity 2010 - Abstracts from the ASEG-PESA Airborne Gravity 2010 Workshop: Australia, 2010, pp. 5-12.

Chan, H.A. and Paik, H.J., Superconducting Gravity Gradiometer for Sensitive Gravity Measurements. I. Theory, Phys. Rev. D, 1987, pp. 3551-3571.

Carroll, K.A., Hatch, D., and Main, B., Performance of the Gedex High-Definition Airborne Gravity Gradiometer, Airborne Gravity 2010 - Abstracts from the ASEG-PESA Airborne Gravity 2010 Workshop: Australia, 2010, pp. 37-43.

Airborne Gravity 2016 (W10), Adelaide, Australia, August 2016. URL: http://www.conference.aseg.org.au/PDF/W10.pdf

Moody, M., Paik, H., and Canavan, E., Three-Axis Superconducting Gravity Gradiometer for Sensitive Gravity Experiments, Rev. Sci. Instrum. 73, 3957 (2002); URL: http://dx.doi.org/10.1063/1.1511798

Rummel, R., Yi, W., and Stummer, C., GOCE Gravitational Gradiometry, Journal of Geodesy, November 2011, vol. 85, no. 11, pp. 777-790.

Brown, D., Mauser, L., Young, B., Kasevich, M., Rice, H.F., and Benischek, V., Atom Interferometric Gravity Gradiometer System, Proceedings of 2012 IEEE/ION Position, Location and Navigation Symposium, PLANS-2012, pp. 30-37.

Mahadeswaraswamy, C., Atom Interferometric Gravity Gradiometer: Disturbance Compensation and Mobile Gradiometry, PhD Dissertation, Stanford University, 2009.

Wu, X., Gravity Gradient Survey with a Mobile Atom Interferometer, PhD Dissertation, Stanford University, 2009.

Yu, N., Kohel, J.M., Ramerez-Serrano, J., Kellogg, J. R., Lim, L., and Maleki, L., Progress Towards a Space-borne Quantum Gravity Gradiometer, Jet Propulsion Laboratory, California Institute of Technology, 2005. URL: https://esto.nasa.gov/2012test/conferences/estc2005/papers/b1p5.1.pdf

McGuirk, J.M., High Precision Absolute Gravity Gradiometry with Atom Interferometry, PhD Dissertation, Stanford University, 2001.

Yu, N., Thompson, R.J., Kellogg, J.R., Aveline, D.C., Maleki, L., and Kohel, J.M., A Transportable Gravity Gradiometer Based on Atom Interferometry, NASA Tech Briefs, NASA’s Jet Propulsion Laboratory, Pasadena, California, May 2010, pp. 6-7.

Carraz, O., Siemes, C., Massotti, L., Haagmans, R., and Silvestrin, P., A Spaceborne Gravity Gradiometer Concept Based on Cold Atom Interferometers for Measuring Earth’s Gravity Field, Microgravity Sci. Technol., 2014, pp. 139–145.

Kohel, J.M., Yu, N., Kellogg, J.R., Thompson, R.J., Aveline, D.C., and Maleki, L., Quantum Gravity Gradiometer Development for Space, Jet Propulsion Laboratory, California Institute of Technologу. URL: https://esto.nasa.gov/conferences/estc2006/papers/b4p1.pdf.

Griggs, C.E., Paik, H.J., Moody, M.V., Han, S.-C., Rowlands, D.D., Lemoine, F.G., Shirron, P.J., and Li, X., Tunable Superconducting Gravity Gradiometer for Mars Climate, Atmosphere and Gravity Field Investigation, Proceeding of 46th Lunar and Planetary Science Conference, 2015, 1735.pdf.

Golden, H., McRae, W., and Veryaskin, A., Description of and Results from a Novel Borehole Gravity Gradiometer, ASEG Extended Abstracts 2007, pp. 1-3.

Veryaskin, A., String Gravity Gradiometer: Noise, Error Analysis and Applications, Geophysical Research Abstract., 2003, vol.5, 01650.

Flokstra, J.; Cupurus, R.; Wiegerink, R.J., and Essen van, M.C., A MEMS based Gravity Gradiometer for Future Planetary Missions, Cryogenics, 2009, vol. 49, p.665-668.

Liu, H., Pike, W.T., and Dou,G., Design, Fabrication and Characterization of a Micro-machined Gravity Gradiometer Suspension, Proceedings of IEEE SENSORS 2014, Valencia, 2-5 Nov. 2014, pp.1611 – 1614.

Lenoir, B., Levy, A., Foulon, B., Christophe, B., Lamine, B., and Reynaud, S., Electrostatic Accelerometer with Bias Rejection for Gravitation and Solar System Physics, Advances in Space Research, 2011, vol. 48, Issue 7, pp. 1248–1257.

URL: http://www.lockheedmartin.com/us/mst/features/2010/100714-using-gravity-to-detect-underground-threats-.html.

Neill F. Возможности скважинной гравитационной градиентометрии // Нефтегазовые технологии, 2010, № 6, С.20-24. (Neill, F., Potentials of Wellbore Gravity Gradiometry, Neftegazovye Tekhnologii, 2010, no. 6, pp. 20-24).

Вольфсон Г.Б., Евстифеев М.И., Розенцвейн В.Г., Семенова М.П., Никольский Ю.И., Рокотян Е.В., Безруков С.Ф. Новое поколение гравитационных вариометров для геофизических исследований // Геофизическая аппаратура. – 1999. – №102. – С.90-105. (Vol’fson, G.B., Evstifeev, M.I., Rozentsvein, V.G., Semenova, M.P., Nikol’skii, Yu.I., Rokotyan, E.V., and Bezrukov, S.F., The New Generation of Gravity Variometers for Geophysical Research, Geofizicheskaya Apparatura, 1999, no. 102, pp. 90-105).

Kirkendall, B., Li, Y., and Oldenburg, D., Imaging Cargo Containers Using Gravity Gradiometry, IEEE Transactions on Geoscience and Remote Sensing, 2007, vol. 45, No. 6, pp.1786-1797.

Vol’fson, G. B., Evstifeev, M. I., Kazantseva, O. S., Kalinnikov, I. I., Manukin, A. B., Matyunin, V. P., and Shcherbak, A.G., Gradiometric Seismoreceiver with a Magnetic Suspension in the Problems of Operative Earthquake Forecasting, Seismic Instruments, 2010, Vol. 46, No. 3, pp. 265–274.

Калинников, И.И., Матюнин В.П. Оперативный прогноз землетрясений в телесейсмической зоне – реальность // ДАН. – 1992. – т. 232, №6. – С.1068-1071. (Kalinnikov, I.I. and Matyunin, V.P., Early Earthquake Prediction in Teleseismic Zone – A Reality, Doklady Akademii Nauk, 1992, vol. 232, no. 6, pp. 1068-1071).

Zlotnikov, D., Superior Detective Work: The Promise of Airborne Gravity Gradiometry, Earth Explorer, Energy Report, June 2011, pp. 5-7.

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