Abstract
In the framework of the developed and implemented nonlinear geomechanical model of a coal bed having block structure, describing gas inflow, the authors propose the method for quantitative estimate of gas content as well as diffusion and mass exchange coefficients based on solution of inverse problems using pressure measurements taken in shut-in borehole in the “pressure drop” mode. Besides the main function, the set problem had an auxiliary objective function with the less number of arguments. Numerical experiments with synthetic input data yield that the auxiliary objective function has a number of local minimums. The authors also put forward a technique of finding global minimum that provides the set problem solution.
Similar content being viewed by others
References
Malyshev, Yu.N., Trubetskoy, K.N., and Airuni, A.T., Fundamental’no-prikladnye metody resheniya problemy metana ugol’nykh plastov (Basic and Applied Methods to Solve Issues Connected with Coalbed Methane), Moscow: Akad. Gorn. Nauk, 2000.
Puchkov, L.A., Slastunov, S.V., and Kolikov, K.S., Izvlechenie metana iz ugol’nykh plastov (Coalbed Methane Recovery), Moscow: MGGU, 2002.
Seidle, J., Fundamentals of Coalbed Methane Reservoir Engineering, PennWell Books, 2011.
Oparin, V.N., Sashurin, A.D., Leont’ ev, A.V. et al., Destruktsiya zemnoi kory i protsessy samoorganizatsii v oblastyakh sil’nogo tekhnogennogo vozdeistviya (Destruction and Self-Organization of the Earth Crust in the Areas Exposed to Heavy Industrial Impact), Novosibirsk: SO RAN, 2012.
Sadovsky, M.A., Bolkhovitinov, L.G., and Pisarenko, V. F., Deformirovanie sredy i seismicheskii protsess (Deformation and Seismic Process in a Medium), Moscow: Nauka, 1987.
Kocharyan, G.G. and Spivak, A.A., Hierarchy of Structural and Dynamic Characteristics of the Earth Crust, Geoekologiya, 2002, no. 6.
Odintsev, V.N., Modeling of Methane Release from Intact Coal, J. Min. Sci., 2005, vol. 41, no. 5, pp. 407–415.
Shi, Q. and Durucan, S., A Bidisperse Pore Diffusion Model for Methane Displacement Desorption in Coal by CO2 Injection, Fuel, 2003. vol. 82.
Connell, L.D., Coupled Flow and Geomechanical Processes during Gas Production from Coal Seams, Int. J. Coal Geology, 2009. vol. 79, issues 1 and 2.
Brochard, L., Vandamme, M., and Pellenq, R.J.-M., Poromechanics of Microporous Medium, J. Mechanics and Physics of Solids, 2012. vol. 60.
Nazarov, L.A. and Nazarova, L.A., Some Geomechanical Aspects of Gas Recovery from Coal Seams, J. Min. Sci., 1999, vol. 35, no. 2, pp. 135–145.
Prognoznyi katalog shakhtoplastov Kuznetskogo ugol’nogo basseina s kharakteristikoi gornogeologicheskikh i gornotekhnichsekikh faktorov za 1995i 2000gg. (Prognostic Catalog of Kuznetsk Coal Basin Coalbeds with Characteristic of Geological and Mining Factors for 1995 and 2000., Moscow: IGD Skochinskogo, 1991.
Lunarzewski, L., Gas Emission Prediction and Recovery in Underground Coal Mines, Int. J. Coal Geology, 1998. vol. 35.
Kuznetsov, S.V. and Krigman, R.N., Prirodnaya pronitsaemost’ ugol’nykh plastov i metody ee opredeleniya (Natural Permeability of Coal Beds and the Determination Methods), Moscow: Nauka, 1978.
Khristianovich, S.A. and Kovalenko, Yu.F., Measurement of Gas Pressure in Coal Seam, J. Min. Sci., 1988, vol. 24, no. 3, pp. 181–1999.
Aminian, K. and Rodvelt, G., Evaluation of Coalbed Methane Reservoirs, Coal Bed Methane: From Prospect to Pipeline, Amsterdam, Boston: Elsevier, 2014.
Saghafi, A., Coal Reservoir Parameters Regulating Gas Emission into and from Coal Mines, Coal 2009. N. Aziz (Ed.), University of Wollongong & the Australian Institute of Mining and Metallurgy, 2009.
Tarantola, A., Inverse Problems: Theory and Methods for Model Parameter Estimation, SIAM, 2005.
Nazarov, L.A. and Nazarova, L.A. Determination of the Filtration Properties and Stresses in a Coal seam, by Solving the Inverse Problem, J. Min. Sci., 2000, vol. 36, no. 2, pp. 106–113.
Nazarova, L.A., Nazarov, L.A., Karchevsky, A.L., and Vandamme, M., Diffusive properties and Storage capacity of Coalbed by Hole Pressure Measurement Data Based on Inverse Problem Solution, Sib. Zh. Industr. Matem., 2014, vol. 17, no. 1.
Nazarova, L.A., Nazarov, L.A., Polevshchikov, G.Ya., and Romin, R.I., Inverse Problem Solution for Estimating Gas Content and Gas Diffusion Coefficient of Coal, J. Min. Sci., 2012, vol. 48, no. 5, pp. 781–788.
Nazarova, L.A., Nazarov, L.A., Rodin, R.I., and Vandamme, M., Estimation of Stresses and Properties of Coal–Rock Mass Based on Inverse Problem Solution, 13th ISRM Congress Proceedings, 2015.
Wittke, W., Rock Mechanics, Berlin, Heidelberg, New York: Springer–Verlag, 1990.
Vengerov, I.R., Teplofizika shakht i rudnikov. Matematicheskie modeli (Mine Thermophysics. Mathematical Models), vol. 1, Donetsk: NORD-Press, 2008.
Khristianovich, S.A., Fundamentals of Seepage Theory, J. Min. Sci., 1989, vol. 25, no. 5, pp. 397–412.
Praktikum po osvoeniyu tekhnologii GIS: ucheb. posob. stazherov ZAO PGO Tyumenpromgeofizika (Practical Course of GIS Technologies: Tyumenpromgeofizika Trainees’ Educational Aid), Megion, 2002.
Harpalani, S.B. and Chen, G., Estimation of Change in Fracture Porosity of Coal with Gas Emission, Fuel, 1995. 74(10).
Seidle, J.R. and Huitt, L.G., Experimental Measurement of Coal Matrix Shrinkage due to Gas Desorption and Implications for Cleat Permeability Increases, Int. Meet. Petroleum Eng., Beijing, China, 1995.
Czerw, K., Zietek, J., and Wagner, M., Methane Sorption on Bituminous Coal—Experiments on Cuboid- Shaped Samples Cut from Primal Coal Lumps, Mineral Resources Management, 2010, vol. 26, no. 2.
Espinoza, D.N., Vandamme, M., Pereira, J.-M., et al., Measurement and Modeling of Adsorptive–Poromechanical Properties of Bituminous Coal Cores Exposed to CO2: Adsorption, Swelling Strains, Swelling Stresses and Impact on Fracture Permeability, Journal of Coal Geology, 2014. vols. 134–135.
Samarsky, A.A., Teoriya raznostnykh skhem (Theory of Difference Schemes), Moscow: Nauka, 1977.
Musin, K.M., Singatullina, R.R., Khusainov, V,M., et al., Estimate of Jointing Parameters of Tatarstan Rock Reservoirs Based on Data from Oriented Cores and Downhole Imagers, Neft. Khoz-vo, 2013, no. 7.
Nazarov, L.A., Nazarova, L.A., Karchevsky, A.L., and Panov, A.V., Stress and Strain Assessment of Rocks Based on Inverse Problem on Displacement Measurement at Free Boundaries, Sib. Zh. Industr. Matem., 2012, vol. 15, no. 4.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © L.A. Nazarova, L.A. Nazarov, A.L. Karchevsky, M. Vandamme, 2015, published in Fiziko-Tekhnicheskie Problemy Razrabotki Poleznykh Iskopaemykh, 2015, No. 4, pp. 34–41.
Rights and permissions
About this article
Cite this article
Nazarova, L.A., Nazarov, L.A., Karchevsky, A.L. et al. Determining kinetic parameters of a block coal bed gas by solving inverse problem based on data of borehole gas measurements. J Min Sci 51, 666–672 (2015). https://doi.org/10.1134/S1062739115040027
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1062739115040027