Abstract：In this paper, a mathematical model is proposed for the thermal effect of intrusion of magma into porous reservoir to simulate the geological system of magma intrusion and the heat effect in solidification by using an equivalent algorithm, based on the equivalence principle of the physical and mathematical equations. The transient finite element analysis transforms the original rock magma solidification boundary movement into a physical equivalent heat source boundary with no new movement, namely, a singlestep solidification model and a multi step (three step) solidification model. The main advantages of the proposed algorithm is that the finite element mesh size is fixed, the varied time step is used to simulate the intruding magma solidification thermal effect through the traditional finite element analysis. Comparing various thermal effect models, it is shown that the numerical single-step solidification model solution and the multi step (three step) numerical model solution enjoy similar accuracy, so the single-step solidification model can effectively simulate the thermal effect of the magma intrusion in the porous rock. Single and multi step (three step) solidification models are compared with the Wang Min model and the Zhao model, and it is shown that the single and multi step (three step) models give solidification results more consistent with those of the Zhao model, which theoretically are closer to the actual geological data. The diabase intrusive analysis of Shang 56 sha 3 pool is carried out to simulate the thermal field, and it is shown that the Shang 56 Sha 3 pool thermal cracking volume is 9.02×104 m3, and the preservation conditions of the reservoir is poor, with a large amount of oil and gas leakage, to which is attributed mostly the loss of crude oil.
于水. 岩浆侵入多孔储层的热效应数学模型及其应用[J]. 科技导报, 2014, 32(18): 41-47.
YU Shui. Mathematical Model of Thermal Effect of Magma Intrusion into Porous Reservoir and Its Application. journal1, 2014, 32(18): 41-47.
[1] Galushkin Y. Thermal effects of igneous intrusions on maturity of organic matter: Apossible mechanism of intrusion[J]. Organic Geochemistry, 1997, 26(11-12): 645-658.
[2] Chen Zhenyan, Yan Huo, Li Junsheng et al. Relationship between Tertiary volcanic rocks and hydrocarbons in the Liaohe Basin, People's Republic of China[J]. AAPG Bulletin, 1999, 83(6): 1004-1014.
[3] 王民, 卢双舫, 薛海涛, 等. 岩浆侵入体对有机质生烃作用的影响及数 值模拟[J]. 岩石学报, 2010, 26(1): 177-184. Wang Min, Lu Shuangfang, Xue Haitao, et al. The effects of magmatic intrusions on the maturation of organic matter and its numerical simulation[J]. Acta Petrologica Sinica, 2010, 26(1): 177-184.
[4] Thorpe A N, Senftle F E, Finkelman R B, et al. Change in the magnetic properties of bituminous coal intruded by an igneous dike, Dutch Creek Mine, Pitkin County, Colorado[J]. International Journal of Coal Geology, 1998, 40(1): 223-241.
[5] 陈荣书, 何生. 岩浆活动对有机质成熟作用的影响初探:以冀中葛渔 城—-文安地区为例[J]. 石油勘探与开发, 1989, 16(1): 29-37. Chen Rongshu, He Sheng. A preliminary discussion of magma activity the maturation of organic matter: Taking Geyucheng—-Wenan area of Hebei Province as an example[J]. Petroleum Expoloration and Development, 16(1): 29-37.
[6] 孙永革, 傅家谟, 刘德汉, 等. 火山活动对沉积有机质演化的影响及其油气地质意义—-以辽河盆地东部凹陷为例[J]. 科学通报, 1995, 40 (11): 1019-1022. Sun Yongge, Fu Jiamo, Liu Dehai, et al. Effect of volcanism on maturation of sedimentary organic and its significance for hydrocarbon generation, a case; East Sag of Liaohe Basin[J]. Chinese Science Bulletin, 1995, 40(11), 1019-1022.
[7] Wang X, Lerche I, Walters C. The effect of igneous intrusive bodies on sedimentary thermal maturity[J]. Organic Geochemistry, 1989, 36(3): 303-307.
[8] Hurter S J, Pollack H N. Effect of the Cretaceous Serra Geral igneous event on the temperatures and heat flow of the Paraná Basin, southern Brazil[J]. Basin Research, 1994, 6(4): 239-244.
[9] Fjeldskaar W, Helset H M, Johansen H, et al. Thermal modelling of magmatic intrusions in the Gjallar Ridge, Norwegian Sea: Implications for vitrinite reflectance and hydrocarbon maturation[J]. Basin Research, 2008, 20(1): 143-159.
[10] 张东辉. 多孔介质扩散、导热、渗流分形模型的研究[D]. 南京: 东南 大学, 2003. Zhang Donghui. Diffusion、percolation and heat conduction in fractal porous media[D]. Nanjing: Southeast University, 2003.
[11] Zhao C B, Hobbs B E, Ord A, et al. An equivalent algorithm for simulating thermal effects of magma intrusion problems in porous rocks[J]. Computer Methods in Applied Mechanics and Engineering, 2003, 38(13): 2479-2488.
[12] 许飞, 郭钢, 胡康, 等. 稠油油藏中含内热源多孔介质的传热研究[J]. 石油化工应用, 2012, 31(2): 28-31. Xu Fei, Guo Gang, Hu Kang, et al. The research on heat transfer of combustible porous media with inner heat source[J]. Petrochemical Application, 2012, 31(2): 28-31.
[13] Neuman S P. On advective transport in fractal permeability and velocity[J]. Water Resource Research, 1995, 31(6): 1455-1460.
[14] 操应长, 杨剑萍. 湖盆火山作用与油气的关系——以惠民凹陷第三 系火成岩及其油藏为例[J]. 地质评论, 1999, 45(增刊): 587-593. Cao Yingchang, Yang Jianping. Relation between the Lacustrine volcanism and hydrocarbon—A case study of the tertiary igneous rocks and related reservoirs of the Huimin depression[J]. Geological Review, 1999, 45(supplement): 587-593.
[15] 赵文智, 王兆云, 张水昌, 等. 有机质“接力成气”模式的提出及其在 勘探中的意义[J]. 石油勘探与开发, 2005, 32(2): 1-7. Zhao Wenzhi, Wang Zhaoyun, Zhang Shuichang, et al. Successive generation of natural gas materials and its significance exploration from organic in future[J]. Petroleum Expoloration and Development, 2005, 32(2): 1-7.
[16] 于仲坤, 薛海涛, 卢双舫, 等. 东营凹陷Es4-Ek油气资源评价[J]. 科 学技术与工程, 2011, 11(27): 1671-1815. Yu Zhongkun, Xue Haitao, Lu Shuangfang et al. Oil and gas resource evaluation of Es4 and Ek formation,Dongying Depression[J]. Science Technology and Engineering, 2011, 11(27): 1671-1815.
[17] 卢双舫. 有机质成烃动力学理论及其应用[M]. 北京: 石油工业出版 社, 1996: 37-129. Lu Shuangfang. Hydrocarbon generation by organic matter dynamics theory and application[M]. Beijing: Petroleum Industry Press, 1996: 37-129.
2014, Vol. 32 
