Geological simulation and issues of petroleum fields development
Article # 19_2025 submitted on 04/18/2025 displayed on website on 06/02/2025
16 p.
pdf Modeling the process of hydrocarbon migration and forming a power-law distribution of their accumulations by mass
The probabilistic distribution of hydrocarbon accumulations by their mass is the most important characteristic of an oil and gas basin, which is of theoretical interest for both the theory of naphtido-genesis and for assessing the structure of the basin's resources.
Computational experiments performed on a simulation stochastic model showed that the power-law distribution of hydrocarbon accumulations by mass can be a consequence of the process of lateral migration of primary accumulations in the near-roof zone of the reservoir. It was also established that two oppositely directed factors play a key role in forming the power-law distribution: displacement and merging of primary accumulations and loss of their mass along migration paths.

Keywords: petroleum basin, naphtido-genesis, primary hydrocarbon accumulations, lateral migration, simulation stochastic model, power-law distribution of accumulations by mass.
article citation Livshits V.R. Modelirovanie protsessa migratsii uglevodorodov i formirovanie stepennogo raspredeleniya ikh skopleniy po masse [Modeling the process of hydrocarbon migration and forming a power-law distribution of their accumulations by mass]. Neftegazovaya Geologiya. Teoriya I Praktika, 2025, vol. 20, no. 2, available at: https://www.ngtp.ru/rub/2025/19_2025.html EDN: QGXDIB
References
Arsiriy Yu.A., Kabyshev B.P., Chuprynin D.I., Shevchenko A.F., Shevyakova Z.P. Prognoz razmerov i chisla neotkrytykh zalezhey UV i metodika ikh poiskov v DDV [Forecast of the size and number of undiscovered hydrocarbon accumulations and the methodology of their exploration in the Far Eastern-Donetsk region]. Geologiya nefti i gaza, 1986, no. 10, pp. 42-46. (In Russ.).
Bakirov V.A. Statisticheskaya model' raspredeleniya mestorozhdeniy nefti i gaza po velichine zapasov [Statistical model of distribution of oil and gas fields by the size of reserves]. Geologiya nefti i gaza, 1972, no. 2, pp. 63-68. (In Russ.).
Burshteyn L.M. Statisticheskie otsenki parametrov raspredeleniya skopleniy nefti po velichine v slaboizuchennykh sedimentatsionnykh basseynakh [Statistical estimates of the parameters of distribution of oil accumulations by size in poorly studied sedimentary basins]. Geologiya i geofizika, 2006, vol. 47 (9), pp. 1013-1023. (In Russ.). EDN: LVHTGK
Burshtein L.M., Livshits V.R. Forecast of the distribution of hydrocarbon accumulations by size. Status and issues. Russian Journal of Earth Sciences, 2025, vol. 25, no. 2, ES2003. DOI: 10.2205/2025ES000962
Burshteyn L.M. Vozmozhnyy mekhanizm formirovaniya raspredeleniya skopleniy uglevodorodov po krupnosti [Possible mechanism for the formation of distribution of hydrocarbon accumulations by size]. Geologiya i geofizika, 2004, vol. 45, no. 7, pp. 815-825. (In Russ.). EDN: ZNZYHC
Burshteyn L.M., Livshits V.R. K voprosu o raspredelenii skopleniy uglevodorodov po krupnosti [On the distribution of hydrocarbon accumulations by size]. Genezis nefti i gaza. Moscow: GEOS, 2003, pp. 424-426. (In Russ.).
Buyalov I.I., Vagerov V.S., Shungutova S.A. Opyt primeneniya logarifmicheski normal'nogo zakona raspredeleniya dlya otsenki prognoznykh zapasov uglevodorodov [Experience of application of log-normal distribution law for estimation of forecast hydrocarbon reserves]. Ref. nauch.-tekhn. sbornik VNIIOENG, ser. neftegazovaya geol. i geofizika, 1975, no. 6, pp. 13-18. (In Russ.).
Gubkin I.M. Uchenie o nefti [The doctrine of oil]. Moscow: Nauka, 1975, 384 p. (In Russ.). EDN: RSXEQB
Kaufman G.M., Balcer Y., Kruit D.A. Probabilistic model of oil and gas discovery. American Association of Petroleum Geologists, 1975, no. 1, pp. 113-142. DOI: 10.1306/St1383C14
Kendall M. Dzh., St'yuart A. Statisticheskie vyvody i svyazi [Statistical inferences and relationships]. Moscow: Nauka, 1973, 900 p. (In Russ.).
Kolichestvennaya otsenka perspektiv neftegazonosnosti slaboizuchennykh regionov [Quantitative assessment of petroleum prospects in poorly studied regions]. A.E. Kontorovich, L.M. Burshteyn, G.S. Gurevich, V.I. Demin, M.S. Modelevskiy, A.A. Rastegin, I.A. Strakhov, A.A. Vymyatnin, V.R. Livshits; ed. A.E. Kontorovich. Moscow: Nedra, 1988, 223 p. (In Russ.).
Kontorovich A., Domain V., Livshits V. Size distribution and dynamics of oil and gaz field discoveries in petroleum basins. AAPG Bulletin, 2001, vol. 85, no. 9, pp. 1609-1622. DOI: 10.1306/8626CCD5-173B-11D7-8645000102C1865D
Kontorovich A.E. Geokhimicheskie metody kolichestvennogo prognoza neftegazonosnosti [Geochemical methods of quantitative forecasting of oil and gas potential]. Moscow: Nedra, 1976, 250 p. (In Russ.).
Kontorovich A.E. Obshchaya teoriya naftidogeneza. Bazisnye kontseptsii, puti postroeniya [General theory of oil and gas genesis. Basic concepts, construction methods]. Teoreticheskie i regional'nye problemy geologii nefti i gaza. Novosibirsk: Nauka, SO, 1991, pp. 29-44. (In Russ.).
Kontorovich A.E. Osadochno-migratsionnaya teoriya naftidogeneza: sostoyanie na rubezhe XX i XXI vv., puti dal'neyshego razvitiya [Sedimentary-migration theory of oil and gas genesis: status at the turn of the 20th and 21st centuries, further development methods]. Geologiya nefti i gaza, 1998, no. 10, pp. 8-16. (In Russ.).
Kontorovich A.E., Burshteyn L.M. Livshits V.R. Sovremennoe sostoyanie i perspektivy razvitiya nelineynoy teorii naftidogeneza [Current state and prospects for development of nonlinear theory of naphtido-genesis]. Sbornik nauchnykh trudov k 70-letiyu VNIGRI. St. Petersburg: VNIGRI, 1999, pp. 49-54. (In Russ.).
Kontorovich A.E., Demin V.I. Metod otsenki kolichestva i raspredeleniya po zapasam mestorozhdeniy nefti i gaza v krupnykh neftegazonosnykh basseynakh [Method for estimating the quantity and distribution of oil and gas fields by reserves in large oil and gas basins]. Geologiya nefti i gaza, 1977, no. 12, pp. 18-26. (In Russ.).
Kontorovich A.E., Demin V.I. Prognoz kolichestva i raspredeleniya po zapasam mestorozhdeniy nefti i gaza [Forecast of quantity and distribution by reserves of oil and gas fields]. Geologiya i geofizika, 1979, no. 3, pp. 26-46. (In Russ.). EDN: ZVRXKA
Kontorovich A.E., Demin V.I., Krasnov O.S. Prognoz podgotovki resursov gaza s primeneniem matematicheskikh metodov [Forecast of gas resource preparation using mathematical methods]. Povyshenie effektivnosti razrabotki i uskorenie vvoda v promyshlennoe osvoenie mestorozhdeniy gaza v Ukrainskoy SSR: tezisy dokladov Respubl. NTK. Khar'kov, 1976, pp. 69-70. (In Russ.).
Kontorovich A.E., Livshits V.R. Imitatsionnaya stokhasticheskaya model' raspredeleniya mestorozhdeniy nefti i gaza po resursam [Simulation stochastic model of distribution of oil and gas fields by resources]. Sovetskaya.geologiya, 1988, no. 9, pp. 99-107. (In Russ.).
Krylov N.A., Aleksin A.G., Baturin Yu.N. Zadachi i puti uskoreniya nauchno-tekhnicheskogo progressa pri poiskakh nefti v rayonakh s vysokoy razvedannost'yu nedr [Tasks and ways to accelerate scientific and technological progress in oil exploration in areas with high exploration levels]. Geologiya nefti i gaza, 1986, no. 7, pp. 1-7. (In Russ.).
Livshits V.R. Imitatsionnaya stokhasticheskaya model' lateral'noy migratsii uglevodorodov [Simulation stochastic model of hydrocarbon lateral migration]. Geologiya i geofizika, 2014, no. 5, pp. 906-917. (In Russ.). EDN: SMXAWJ
Livshits V.R. Lateral'naya migratsiya uglevodorodov, kak vozmozhnyy mekhanizm formirovaniya stepennogo raspredeleniya ikh skopleniy po masse [Lateral migration of hydrocarbons as a possible mechanism for the formation of a power-law distribution of their accumulations by mass]. Geologiya i geofizika, 2017, no. 3-4, pp. 372-383. (In Russ.). DOI: 10.15372/GiG20170303
Livshits V.R., Sharnin A.A. Ob odnom vozmozhnom mekhanizme formirovaniya raspredeleniya skopleniy uglevodorodov po krupnosti [On one possible mechanism for the formation of hydrocarbon accumulation distribution by size]. Geologiya nefti i gaza, 2011, no. 5, pp. 12-18. (In Russ.). EDN: OGYMYJ
Metod Monte-Karlo v neftyanoy geologii [Monte Carlo method in petroleum geology]. M.D. Belonin, Yu.V. Podol'skiy, I.S. Simakova V.P. Sheyman. Moscow: VIEMS, 1981, 45 p. (Mat. metody issled. v geologii. Obzor. inform. / VNII ekonomiki miner. syr'ya i geol.-razved. rabot). (In Russ.).
Neruchev S.G., Moiseeva O.B., Klimova L.I., Smirnov S.V. Modelirovanie protsessov migratsii i akkumulyatsii nefti i gaza v lovushkakh [Modeling of migration and accumulation processes of oil and gas in traps]. Geologiya i geofizika, 2000, vol. 41, no. 8, pp. 1145-1164. (In Russ.). EDN: YQZTPQ
Otsenka potentsial'nykh resursov uglevodorodov na osnovanii modelirovaniya protsessov ikh generatsii, migratsii i akkumulyatsii [Assessment of potential hydrocarbon resources based on modeling of their generation, migration and accumulation processes]. S.G. Neruchev, T.K. Bazhenova, S.V. Smirnov, O.A. Andreeva, L.I. Klimova. St. Petersburg: Nedra, 2006, 364 p. (In Russ.). EDN: QKGCSH
Prognoz mestorozhdeniy nefti i gaza [Forecast of oil and gas fields]. A.E. Kontorovich, E.E. Fotiadi, V.I. Demin, V.B. Leontovich, A.A. Rastegin. Moscow: Nedra, 1981, 350 p. (In Russ.).
Rodkin M.V. Stepennoe raspredelenie zapasov UV v mestorozhdeniyakh: modeli generatsii i svyaz' s protsessami vospolneniya zapasov v razrabatyvaemykh mestorozhdeniyakh UV [Power distribution of hydrocarbon reserves in fields: generation models and connection with reserve replenishment processes in developed hydrocarbon fields]. Genezis uglerodnykh flyuidov i mestorozhdeniy. Moscow: GEOS, 2006, pp. 84-92. (In Russ.).
Shpil'man V.I. Kolichestvennyy prognoz neftegazonosnosti [Quantitative forecast of oil and gas content]. Moscow: Nedra, 1982, 215 p. (In Russ.).
Shpil'man V.I. Metodika prognozirovaniya razmerov mestorozhdeniy [Methodology for forecasting the size of fields]. Tr. in-ta ZapSibNIGNI, 1972, vol. 53, pp. 118-126. (In Russ.).
Sobol' I.M. Chislennye metody Monte-Karlo [Numerical methods of Monte Carlo]. Moscow: Nauka, 1973, 312 p. (In Russ.).
Tisso B., Vel'te D. Obrazovanie i rasprostranenie nefti [Formation and distribution of oil]. Moscow: Mir, 1981, 502 p. (In Russ.).
Vassoevich N.B. Teoriya osadochno-migratsionnogo proiskhozhdeniya nefti [Theory of sedimentary-migration origin of oil]. Izvestiya AN SSSR. Ser. Geologiya, 1967, no. 11, pp. 135-156. (In Russ.).
Vassoevich N.B., Trofimuk A.A., Kontorovich A.E., Neruchev S.G. Novye issledovaniya v oblasti diagnostiki nefteproizvodyashchikh otlozheniy i otsenki prognoznykh zapasov nefti i gaza ob"emno-geneticheskim metodom [New studies in the field of diagnostics of oil-producing strata and assessment of predicted oil and gas reserves by the volumetric-genetic method]. Ed. A.A. Trofimuk. Izbrannye trudy. V 4 t. T. 1: Teoreticheskie problemy geologii nefti i gaza. Novosibirsk: Izd-vo SO RAN, filial «Geo», 2001, pp. 106-122. (In Russ.).