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2016/2
Specific features and criteria of using rock physics to model effective thermal conductivity of carbonate and terrigenous rocks
Geosciences

Authors: Tagir R. YALAEV is 3rd year PhD student of Moscow Institute of Physics and Technology. He is specialist in the field of applied physics and mathematics. E-mail: tagirjala@mail.ru
Irina O. BAYUK graduated from Moscow Aviation Institute in 1981. She is Doctor of Physical and Mathematical Sciences, leading research fellow of The Schmidt Institute of Physics of the Earth of the Russian Academy of Sciences. She is specialist in the field of mathematical modelling, petrophysics, seismic and geophysics. She is author of more than 70 scientific publications.
E-mail: ibayuk@yandex.ru

Abstract: Effective medium theory (EMT) in the general singular approach was used to develop a mathematical model of effective thermal conductivity of carbonate rock mostly consisting of limestone. The model was created with the use of thermal conductivity of a sample successively saturated with two fluids with contrasting thermal conductivity. The developed model was tested on experimental data of thermal conductivity of fluid-saturated samples. Air, brine and oil were used as saturating fluids. Experimental data and theoretical prediction of thermal conductivity were compared for different fluid saturations to test the applicability of the model for each sample. For instance, thermal conductivity of oil saturated sample was predicted from the data of thermal conductivity of dry and water-saturated samples. It is shown that the developed EMT-based model could be used to solve the fluid-saturation problem. A comparison with other collections of different rock types was performed. A new criterion of choosing the EMT-model was suggested

Index UDK: 550.8

Keywords: effective medium theory, rock physics, thermal conductivity, fluid saturation, carbonate rock, terrigenous rock

Bibliography:
1. Bayuk I.O., Postnikova O.V., Ryzhkov V.I., Ivanov I.S. Matematicheskoye modelirovaniye anizotropnikh effektivnikh uprugikh svoistv karbonatnikh kollektorov slozhnogo stroeniya [Mathematical modelling of effective elastic properties of anisotropic carbonate rocks with complex structure]. Tekhnologii seismorazvedki [Seismic Technologies], 2012, no. 3, p. 42–55 (in Russian).
2. Bayuk I., Chesnokov E., Ammerman M. Why anisotropy is important for location of microearthquake events in shale? Expanded Abstracts of SEG 79th Annual, 2009, p. 1632–1635.
3.
Bayuk I., Popov Yu., Parshin A. A new powerful tool for interpreting and predicting in reservoir geophysics: theoretical modeling as applied to laboratory measurements of thermal properties. Proceedings of the International Symposium of the Society of Core Analysts (Austin, Texas, USA, September 18–21, 2011), Dublin: SCA, Paper SCA2011-39. P. 1/1—1/12.
4. Popov Yu.A. Teoreticheskiye modeli dlya opredeleniya teplovich svoistv gornikh porod na osnove podvizhnikh istochnikov teplovoy energii [Theoretical models for determination of thermal properties based on mobile heat sources]. Izvestiya vuzov. Geologiya I razvedka, 1983, no. 9, p. 97–103 (in Russian).
5. Yalaev T.R., Bayuk I.O., Gorobtsov D.N., Popov E.Yu. Experimantal’niy analiz primenimosti sovremennikh podhodov k teoreticheskomu modelirovaniyu teploprovodnosti osadochnikh porod [Experimental analysis of applicability of modern techniques for theoretical modelling of thermal conductivity of rocks]. Izvestiya vuzov. Geologiya I razvedka, 2013, no. 2, p. 63–68 (in Russian).
6. Yalaev T.R. Razrabotka teoreticheskikh podhodov k otsenke teploprovodnosti fluidona-sischennikh gornikh porod s uchetom ikh microstructuri [Development of theoretical approaches to the evaluation of the thermal conductivity of fluid-saturated rocks based on their microstructure]. MSc’s thesis, Moscow, 2013, MIPT, p. 45-51 (in Russian).