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A strategy based on proportional-integral feedback control was applied to gradually feedback the error between simulation of transient heat transfer model and logged date to forecast initial formation temperature. In this study, based on the each control unit of mass, momentum and energy conservation principles in a wellbore, the transient heat transfer model was developed between circulation and shut-in stages under real casing program and drilling string assembly condition, which were solved by full implicit finite difference method. Meanwhile, the proportional-integral control principle was introduced to compare the error range between measured temperature and prediction temperature, which can precisely and quickly obtain initial formation temperature. Combined with a deep well basic data, the results show that the heat exchange efficiency of wellbore and formation was changed by the casing pipe depth, thus affecting formation temperature distribution of the near-well zone. What’s more, the initial and boundary conditions of each control unit in the down-hole was also changed by circulation and shut-in operating time during the drilling process, leading to the variation of distribution distance of the initial formation temperature of the near-well zone. Development of the numerical models and the research methods can provide accurately, economically and quickly to obtain theoretical basis for oil drilling, geothermal well exploiting and the initial formation temperature information.
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Keywords:
- initial formation temperature /
- circulation and shut-in /
- transient heat transfer model /
- proportional-integral control principle
[1] Paredes G E, Erick G, Espinosa M 2009 Energy Conversion and Management 50 140
[2] Paredes G E, Garcia A 2001 Computers & Geosciences 27 327
[3] Eppelbaum L V, Kutasov I M 2011, Journal of Applied Geophysics 73 278
[4] Kutasov I M, Eppelbaum L V 2005 Journal of Geophysics and Engineering 2 90
[5] Guo Y C, Zeng Y S, Lu D T 2005 Acta Phys. Sin. 54 802 (in Chinese) [郭永存, 曾亿山, 卢德唐 2005 物理学报 54 802]
[6] Raymond L R 1969 Journal of Petroleum Technology 21 333
[7] Marshall D W, Bentsen R G 1982 Journal of Canadian Petroleum 21 63
[8] Paredes G E, Gutierrez A G 2004 Energy Conversion and Management 45 1513
[9] Song X C, Guan Z C 2011 Acta Petro. Sin. 32 704 (in Chinese) [宋洵成, 管志川 2011 石油学报 32 704]
[10] Yang M 2012 Ph. D. Dissertation (Southwest petroleum University) (in Chinese) [杨谋 2012 博士学位论文 (成都: 西南石油大学)]
[11] Valladares O G, Sánchez P U, Santoyo E 2006 Energy Conversion and Management 47 1621
[12] Paredes G E, Díaz A M, González U O, Garcia J J 2009 Marine and Petroleum Geology 26 259
[13] Zhong B 1998 Ph. D. Dissertation (Sichuan Union University) (in Chinese) [钟兵 1998 博士学位论文 (成都: 四川联合大学博士论文)]
[14] Yang M, Meng Y F, Gao L, Deng J M, Zhang L, Tang S H 2013 Acta Phys. Sin. 62 079101 (in Chinese) [杨谋, 孟英峰, 李皋, 邓建民, 张林, 唐思洪 2013 物理学报 62 079101]
[15] Shen H C 2005 Acta Phys. Sin. 54 2486 (in Chinese) [沈惠州 2005 物理学报 54 2486]
[16] Xu Z Z, Zhang W Q, Pan Z S, Wang Y F 1982 Acta Phys. Sin. 31 1270 (in Chinese) [徐至展, 张文琦, 潘仲雄, 王翼飞 1982 物理学报 31 1268]
[17] Cheng H, Zhang W P, Zhao Z Y, Li Z B, Zhou W Y, Tian J G 2009 Chin. Phys. Lett. 27 014201
[18] Ji Y, Yun B F, Hu G H, Cui Y P 2009 Chin. Phys. Lett. 26 014205
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[1] Paredes G E, Erick G, Espinosa M 2009 Energy Conversion and Management 50 140
[2] Paredes G E, Garcia A 2001 Computers & Geosciences 27 327
[3] Eppelbaum L V, Kutasov I M 2011, Journal of Applied Geophysics 73 278
[4] Kutasov I M, Eppelbaum L V 2005 Journal of Geophysics and Engineering 2 90
[5] Guo Y C, Zeng Y S, Lu D T 2005 Acta Phys. Sin. 54 802 (in Chinese) [郭永存, 曾亿山, 卢德唐 2005 物理学报 54 802]
[6] Raymond L R 1969 Journal of Petroleum Technology 21 333
[7] Marshall D W, Bentsen R G 1982 Journal of Canadian Petroleum 21 63
[8] Paredes G E, Gutierrez A G 2004 Energy Conversion and Management 45 1513
[9] Song X C, Guan Z C 2011 Acta Petro. Sin. 32 704 (in Chinese) [宋洵成, 管志川 2011 石油学报 32 704]
[10] Yang M 2012 Ph. D. Dissertation (Southwest petroleum University) (in Chinese) [杨谋 2012 博士学位论文 (成都: 西南石油大学)]
[11] Valladares O G, Sánchez P U, Santoyo E 2006 Energy Conversion and Management 47 1621
[12] Paredes G E, Díaz A M, González U O, Garcia J J 2009 Marine and Petroleum Geology 26 259
[13] Zhong B 1998 Ph. D. Dissertation (Sichuan Union University) (in Chinese) [钟兵 1998 博士学位论文 (成都: 四川联合大学博士论文)]
[14] Yang M, Meng Y F, Gao L, Deng J M, Zhang L, Tang S H 2013 Acta Phys. Sin. 62 079101 (in Chinese) [杨谋, 孟英峰, 李皋, 邓建民, 张林, 唐思洪 2013 物理学报 62 079101]
[15] Shen H C 2005 Acta Phys. Sin. 54 2486 (in Chinese) [沈惠州 2005 物理学报 54 2486]
[16] Xu Z Z, Zhang W Q, Pan Z S, Wang Y F 1982 Acta Phys. Sin. 31 1270 (in Chinese) [徐至展, 张文琦, 潘仲雄, 王翼飞 1982 物理学报 31 1268]
[17] Cheng H, Zhang W P, Zhao Z Y, Li Z B, Zhou W Y, Tian J G 2009 Chin. Phys. Lett. 27 014201
[18] Ji Y, Yun B F, Hu G H, Cui Y P 2009 Chin. Phys. Lett. 26 014205
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