Estimation of full vector of displacements of the Earth' surface and technogenic objects based on InSAR data applied to oil and gas production areas

Category: 13-3
V.O. Mikhailov, E.A. Kiseleva, P.N. Dmitriev, V.I. Golubev, E.I. Smolyaninova, E.P. Timoshkina


UDC 550.31



V.O. Mikhailov, E.A. Kiseleva, P.N. Dmitriev, V.I. Golubev,
E.I. Smolyaninova, E.P. Timoshkina


Schmidt Institute of Physics of the Earth, Russian Academy of Sciences, Moscow, Russia



When monitoring displacements of the Earth’ surface or technogenic objects using InSAR data, time series and mean velocities of displacements in the line-of-sight direction of a satellite are determined. To estimate all three components of displacements i.g. north, east and vertical components some additional information, such as that concerning physical origin of the displacements, is necessary. We put forward a method of estimation of three components of displacements assuming surface displacements being due to increase or decrease of pressure in the exploration layers resulting from petroleum extraction and fluid injection. Example of evaluation of displacements in the line-of-sight direction and determination of full displacement vector for Romashkino oil field near Almetievsk city is presented.

Keywords: satellite radar interferometry, subsidence, oil and gas fields, monitoring, three components of displacement vector.



Aronov, V.I., Kushnir, G.F., Mikhailov, B.O., and Mikhailov, V.O., Algorithm and programs of interpolation and filtration, Express-informatsiya OTsNTI VIEMS, Series Mathematical research methodsin geology, Moscow, 1977, no. 12, pp. 1-19.

Aronov, V.I., To the question of reduction of gravity anomalies, Geofizicheskaya razvedka, issue 14, Moscow: Gostopttechizdat, 1963, pp. 46-57.

Bjerhammar, A., Gravity Reduction to a Spherical Surface of Reference. Technical Report, Div. Geodesy. Stockholm: Royal Institute of Technology, 1962.

Davies, J.H., Elastic field in a semi-infinite solid due to thermal expansion or a coherently misfitting inclusion, J. Appl. Mech., 2003, vol. 70, pp. 655–660.

Delft object-oriented interferometric software user’s manual and technical documentation. Version 4.02 [Text], Delft institute of earth observation and space systems; Delft university of Technology, 2008.

Dmitriyev, P.N., Golubev, V.I., Isayev, Yu.S., Kiseleva, E.A., Mikhailov, V.O., and Smol’yaninova, E.I., Certain problems of  processing and interpreting satellite radar interferometry data on the example of landslide processes, Modern problems of remote sensing from space, 2012, vol. 9, no. 2, pp. 130-144.

Fielding, E.J., Blom, R.G., and Goldstein, R.M. Rapid subsidence over oil fields measured by SAR interferometry, Geophys. Res. Lett., 1998, vol. 25, no.17, pp. 3215–3218.

Filatov, A.V., Evtyushkin, A.V., Vasilyev, Yu.V., Defining relocation of man-made objects in the areas of oil deposits by radar interferometry, Modern problems of remote sensing from space, 2011, vol. 8, no. 2, pp. 157-165.

Fokker, P.A. and Orlic, B., Semi-Analytic Modelling of Subsidence, Mathematical Geology, 2006, vol. 38, no. 5, pp. 565–589. DOI: 10.1007/s11004-006-9034-z

Gatiyatullin, R.N., Zalyalov, I.M., Koshurkin, P.I., Kuzmin, Yu.O., and Rahmatullin, M.H., A study of modern deformation and seismic processes at Romashkinskoye geodynamic test site, Proc. Intl. conf. The changing geological medium: spatial-temporal interactions of endogenous and exogenous processes, 2007, vol. 1, pp. 222-226.

Geertsma, J., Land subsidence above compacting oil and gas reservoirs, J. Petr. Technol., 1973, vol. 6, no. 6, pp. 734–744.

Gordin, V.M., Mikhailov, B.O., and Mikhailov, V.O., Physical aspects of approximation and filtration of gradient fields, Izvestiya AN SSSR, Series Physics of the Earth, 1980, no. 1, pp. 78-93.

Hanssen, R.F., Radar Interferometry: Data Interpretation and Error Analysis, Dordrecht: Kluwer Academic Publ., 2001.

Hooper, A., Segall, P., and Zebker, H., Persistent Scatterer InSAR for Crustal Deformation Analysis, with Application to Volcán Alcedo, Galápagos, J. Geophys. Res., 2007, vol. 112, no. B07407, doi: 10.1029/ 2006JB004763.

Idelson, N.I., Potential theory and its applications to the questions of geophysics, Moscow, L: PTI, 1932, 348 p.

Kantemirov, Yu.I., Space monitoring of Earth surface relocations at Kandym and Gumbulak deposits in the Republic of Uzbekistan based on space radar survey, Geomatika, 2011, no. 1, pp. 71-79.

Kuz’min, Yu.O. and Zhukov, V.S., Sovremennaya geodinamika i variatsii fizicheskikh svoistv gornykh porod (Modern geodynamics and variations in physical properties of rocks), Moscow: MGGU, 2004.

Mikhailov, V.O., A. N. Nazaryan, A.N., Smirnov, V.B., Diament, M., Shapiro, N., Kiseleva, E.A.,  Tikhotskii, S.A., Polyakov, S.A., Smol’yaninova, E.I., and Timoshkina .P.,  Joint inversion of the differential satellite interferometry and GPS data: A case study of Altai (Chuia) Earthquake of September 27, 2003, Izv. Phys. Solid Earth, 2010, vol. 46, no. 2, pp. 91-103.

Mindlin, R.D. and Cheng, D.H., Thermo-Elastic Stress m the Semi-Infinite Solid, J. Applied Phys., 1950, vol. 21, pp.  931.

Strakhov, V.N., Transformatsii potentsianlnyh polej (Transformations of gradient fields), chapter 8, Gravirazvedka, edit. E.A. Mudretsova, K.E. Veselov, Moscow: Nedra, 1990, 607 p.

Timoshenko, S.P., Goodyear, G., Teoriya uprugosti (Theory of elasticity), Moscow: Nauka, 1979, 560 p.