各向异性介质多分量感应测井三维Born几何因子理论研究

王磊; 范宜仁; 黄瑞; 韩玉娇; 巫振观; 邢东辉; 李炜

doi:10.7498/aps.64.239301

摘要

几何因子理论被广泛运用于感应测井仪器设计、响应特征分析及高分辨率曲线处理, 现有的感应测井几何因子主要适用于二维各向同性介质, 难以满足各向异性介质多分量感应测井的研究需要. 本文基于Born近似方法将Born几何因子扩展至各向异性介质, 推导了各向异性介质多分量感应测井三维Born几何因子表达式, 随后进一步考察了多分量感应测井对地层各向异性的敏感性和探测能力. 数值模拟结果表明, 各向异性系数越大, 多分量感应测井几何因子空间分布越复杂, 其对各向异性的敏感性越高. 多分量感应测井仪器在不同倾斜角度对各向异性均具有较高的敏感性. 直井条件下, xx共面分量受各向异性影响严重, 井斜角在40°–60°时, xz/zx交叉分量对各向异性的敏感性高, 水平井中zz同轴分量则对各向异性的探测能力最强. 各向异性介质三维Born几何因子弥补了现有几何因子理论的不足, 可为国内新型多分量感应测井仪器研发及储层各向异性评价方法的发展提供有利条件.

关键词:

Abstract

Geometrical factor has been widely used in the design of induction tool and analysis of complex logging responses, as well as the high resolution processing of logging data. Works in this area are usually limited to two-dimensional isotropic medium and are only available to cases of coaxial transmitter and coaxial receiver coupling. For a more thorough understanding of multicomponent induction logging in the presence of transverse anisotropy, a knowledge of anisotropic geometrical factor is often necessary. In this paper, the two-dimensional and isotropic geometrical factors are extended to the anisotropic media using Born approximation, and the expressions of 3D Born geometrical factors for multicomponent induction logging are derived. Then the sensitivity and detectability of coaxial, coplanar and cross-coupling measurements are investigated. Numerical results show that with increasing coefficients of conductivity anisotropy, the spatial distribution of geometrical factors becomes increasingly complicated, and more sensitivity information can be detected by multicomponent induction tools. The multicomponent induction tool is sensitive to conductivity anisotropy at arbitrary dipping angles. In vertical wells, coplanar measurements are significantly affected by the conductivity anisotropy. Compared with coaxial and coplanar measurements, cross-coupling component offers superior sensitivity information to the conductivity anisotropy with the dipping angle being 40～ 60°. In horizontal wells, coaxial measurements are the most sensitive to the conductivity anisotropy. The extended 3D Born geometrical factor directly exhibits the anisotropy sensitivity in terms of spatial contribution, and has made up for the shortage of previous geometrical factors. The new geometrical factor will create favorable conditions for the development of new multicomponent induction tool and the interpretation of anisotropic formations.

Keywords:

作者及机构信息

1.
中国石油大学地球科学与技术学院, 青岛 266580;

2.
中国石油大学CNPC测井重点实验室, 青岛 266580;

3.
中国石油天然气勘探开发公司, 北京 100034;

4.
中海油田服务股份有限公司物探事业部, 天津 300451

通信作者: 王磊, upcwanglei199133@163.com

基金项目: 国家自然科学基金(批准号: 41474100)和中国石油大学(华东)研究生创新工程(批准号: YCX2015003)资助的课题资助的课题.

Authors and contacts

1.
School of Geosciences in China University of Petroleum, Qingdao 266580, China;

2.
CNPC Key Laboratory for Well Logging in China University of Petroleum, Qingdao 266580, China;

3.
China National Oil and Gas Exploration and development Corporation, Beijing 100034, China;

4.
China Oilfield Services Limited Geophysical, Tianjin 300451, China

Corresponding author: Wang Lei, upcwanglei199133@163.com

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 41474100), and the Graduate Innovation Project of China University of Petroleum (East China) (Grant No. YCX2015003).

参考文献

[1]	Hagiwara T 1997 The Society of Petroleum Engineers (SPE)'s Annual Technical Conference and Exhibition San Antonio, Texas, October 5-8, 1997 38669
[2]	Klein J D, Martin P T, Allen D F The Society of Petrophysicists, Well Log Analysts (SPWLA)'s 36th Annual Logging Symposium Paris, France, June 26-29, 1997 HH
[3]	Kennedy W D, Herrick D C, Yao T T 2001 Petrophysics 42 118
[4]	Deng S G, Fan Y R, Li Z Q, Sun Q T 2011 Pet. Sci. 8 11
[5]	Schoen J H, Mollison R A, Georgi D T 1999 The Society of Petroleum Engineers (SPE)'s Annual Technical Conference and Exhibition Houston, Texas, October 3-6, 1999 56509
[6]	Cook A E, Anderson B I, Malinverno A, Mrozewski S, Goldberg D S 2010 Geophysics 75 173
[7]	Clavaud J B 2008 Petrophysics 49 243
[8]	Moran J H, Gianzero S 1979 Geophysics 44 1266
[9]	Gianzero S 1999 The Log Analyst 40 485
[10]	Weiss C J, Newman G A 2002 Geophysics 67 1104
[11]	Howard A Q 2000 IEEE Transactions on Antennas and Propagation 48 1376
[12]	Novo M S, Silva L C, Teixeira F L 2007 IEEE Antennas Wireless Propagation Letters 6 549
[13]	Zhang Z Y, Gonguet C, Rajani V, Roeterdink R 2008 The Society of Petrophysicists and Well Log Analysts (SPWLA)'s 49th Annual Logging Symposium Austin, Texas, May 25-28, 2008 FFFF
[14]	Liu G S, Teixeira F L, Zhang G J 2012 IEEE Transactions on Antennas and Propagation 60 318
[15]	Lee H O, Teixeira F L, Martin L S, Bittar M S 2012 IEEE Transactions on Geoscience and Remote Sensing 50 727
[16]	Peksen E 2013 International Journal of Geosciences 4 58
[17]	Kriegshauser B, Fanini O, Forgang S, Itskovich G, Rabinovich, M, Tabarovsky L, Yu L, Epov M, Gupta P, Horst J V 2000 The Society of Petrophysicists and Well Log Analysts (SPWLA)'s 41th Annual Logging SymposiumDallas, Texas, June 4-7, 2000 D
[18]	Rosthal R, Barber T, Bonner S, Chen K C, Davydycheva S, Hazen G, Homan D, Kibbe C, Minerbo G, Schlein R, Villegas L, Wang H M, Zhou F 2003 The Society of Petrophysicists and Well Log Analysts (SPWLA)'s 46th Annual Logging SymposiumGalveston, Texas, June 22-25, 2003 QQ
[19]	Davydycheva S 2010 Geophysics 75 E31
[20]	Hou J S, Sanmartin L, Wu D G, Torres D, Celepcikay T 2013 The Society of Petrophysicists and Well Log Analysts (SPWLA)'s 54th Annual Logging SymposiumNew Orleans, Louisiana, June 22-26, 2013 CCC
[21]	Barber T D 1986 The Society of Petrophysicists and Well Log Analysts (SPWLA)'s 27th Annual Logging Symposium Houston, Texas, June 9-13, 1986 EE
[22]	Barber T D, Rosthal R A 1991 The Society of Petroleum Engineers (SPE)'s Annual Technical Conference and ExhibitionDallas, Texas, October 6-9, 1991 22725
[23]	Lv W G, Chu Z T, Zhao X Q, Fan Y X, Song R L, Han W 2009 Chin. Phys. Lett. 26 014102
[24]	Cui Z W, Wang K X, Hu H S, Sun J G 2007 Chin. Phys. B 16 746
[25]	Zhang Z Y, Yu L M, Kriegshauser B, Tabarovsky L 2004 Geophysics 69 898
[26]	Wang H, Barber T, Morriss C, Rosthal R, Hayden R, Markley M 2006 The Society of Petroleum Engineers (SPE)'s Annual Technical Conference and Exhibition San Antonio, Texas, September 24-27, 2006 103113
[27]	Tsili W, Alex B, Bill C, Dan G, Michael R, Stephen D, Tang Y M 2006 The Society of Petrophysicists and Well Log Analysts (SPWLA)'s 47th Annual Logging SymposiumVeracruz, Mexico, June 4-7, 2006 QQQ
[28]	Rabinovich M, Tabarovsky L, Corley B, Horst J V, Epov M 2006 Petrophysics 47 506
[29]	Zhdanov M, Kennedy D, Peksen E 2001 Petrophysics 42 588
[30]	Zhong L L, Li J, Bhardwaj A, Shen L C, Richard C L 2008 IEEE Transactions on Geoscience and Remote Sensing 46 1148
[31]	Wei X K, Shao W, Shi S B, Zhang Y, Wang B Z 2015 Chin. Phys. B 24 070203
[32]	Zhou J M, Zhang Y, Wang H N, Yang S W, Yin C C 2014 Acta Phys. Sin. 63 159101 (in Chinese) [周建美, 张烨, 汪宏年, 杨守文, 殷长春 2014 63 159101]
[33]	Hong D C, Yang S D 2011 Acta Phys. Sin. 60 109101 (in Chinese) [洪德成, 杨善德 2011 60 109101]
[34]	Wang H N, Hu P, Tao H G, Yang S W 2012 Chinese J. Geophysics. 55 717 (in Chinese) [汪宏年, 胡平, 陶宏根, 杨守文 2012 地球 55 717]
[35]	Spies B R, Habashy T M 1995 Geophysics 60 834
[36]	Wang H M, Barber T, Chen K, Davydycheva S, Frey M, Homan D, Minerbo G, Morriss C, Rosthal R, Tumbiolo G 2006 The Society of Petroleum Engineers (SPE)'s Annual Technical Conference and Exhibition Beijing, China, December 5-7, 2006 103897
[37]	Wang H, Davydycheva S, Zhou J J, Frey M, Barber T, Abubakar A, Habashy T 2008 The Society of Petroleum Engineers (SPE)'s Annual Technical Conference and Exhibition Las Vegas, Nevada, November 9-14, 2008 0248
[38]	Ning Y, Nie X C, Liu R, Qiu C W 2010 Geophysics 75 E101
[39]	Doll H G 1949 Journal of Petroleum Technology 1 148
[40]	Gianzero S, Anderson B 1981 The Society of Petrophysicists and Well Log Analysts (SPWLA)'s 22th Annual Logging SymposiumMexico City, Mexico, June 23-26, 1981 I
[41]	Moran J H 1982 The Log Analyst 23 4
[42]	Zhang G J, Zhang Z Q 1998 IEEE Transactions on Geoscience and Remote Sensing 36 732
[43]	Zhang G J 2009 Electric Logging Algorithm (Beijing: Petroleum Industry Press) p88 (in Chinese) [张庚骥 2009 电测井算法(北京:石油工业出版社) 第88页]
[44]	Howard A Q, Chew W C 1990 IEEE Transactions on Geoscience and Remote Sensing 28 394
[45]	Alumbaugh D L, Wilt M J 2001 Petrophysics 42 19
[46]	Barber T, Anderson B, Abubakar A, Broussard T, Chen K C, Davydycheva S, Druskin V, Homan D, Minerbo G, Rosthal R, Schlein R, Wang H M 2004 The Society of Petroleum Engineers (SPE)'s Annual Technical Conference and Exhibition Houston, Texas, September 26-29, 2004 90526
[47]	Lu X Y, Alumbaugh D L 2001 Petrophysics 42 566

施引文献

[1]	Hagiwara T 1997 The Society of Petroleum Engineers (SPE)'s Annual Technical Conference and Exhibition San Antonio, Texas, October 5-8, 1997 38669
[2]	Klein J D, Martin P T, Allen D F The Society of Petrophysicists, Well Log Analysts (SPWLA)'s 36th Annual Logging Symposium Paris, France, June 26-29, 1997 HH
[3]	Kennedy W D, Herrick D C, Yao T T 2001 Petrophysics 42 118
[4]	Deng S G, Fan Y R, Li Z Q, Sun Q T 2011 Pet. Sci. 8 11
[5]	Schoen J H, Mollison R A, Georgi D T 1999 The Society of Petroleum Engineers (SPE)'s Annual Technical Conference and Exhibition Houston, Texas, October 3-6, 1999 56509
[6]	Cook A E, Anderson B I, Malinverno A, Mrozewski S, Goldberg D S 2010 Geophysics 75 173
[7]	Clavaud J B 2008 Petrophysics 49 243
[8]	Moran J H, Gianzero S 1979 Geophysics 44 1266
[9]	Gianzero S 1999 The Log Analyst 40 485
[10]	Weiss C J, Newman G A 2002 Geophysics 67 1104
[11]	Howard A Q 2000 IEEE Transactions on Antennas and Propagation 48 1376
[12]	Novo M S, Silva L C, Teixeira F L 2007 IEEE Antennas Wireless Propagation Letters 6 549
[13]	Zhang Z Y, Gonguet C, Rajani V, Roeterdink R 2008 The Society of Petrophysicists and Well Log Analysts (SPWLA)'s 49th Annual Logging Symposium Austin, Texas, May 25-28, 2008 FFFF
[14]	Liu G S, Teixeira F L, Zhang G J 2012 IEEE Transactions on Antennas and Propagation 60 318
[15]	Lee H O, Teixeira F L, Martin L S, Bittar M S 2012 IEEE Transactions on Geoscience and Remote Sensing 50 727
[16]	Peksen E 2013 International Journal of Geosciences 4 58
[17]	Kriegshauser B, Fanini O, Forgang S, Itskovich G, Rabinovich, M, Tabarovsky L, Yu L, Epov M, Gupta P, Horst J V 2000 The Society of Petrophysicists and Well Log Analysts (SPWLA)'s 41th Annual Logging SymposiumDallas, Texas, June 4-7, 2000 D
[18]	Rosthal R, Barber T, Bonner S, Chen K C, Davydycheva S, Hazen G, Homan D, Kibbe C, Minerbo G, Schlein R, Villegas L, Wang H M, Zhou F 2003 The Society of Petrophysicists and Well Log Analysts (SPWLA)'s 46th Annual Logging SymposiumGalveston, Texas, June 22-25, 2003 QQ
[19]	Davydycheva S 2010 Geophysics 75 E31
[20]	Hou J S, Sanmartin L, Wu D G, Torres D, Celepcikay T 2013 The Society of Petrophysicists and Well Log Analysts (SPWLA)'s 54th Annual Logging SymposiumNew Orleans, Louisiana, June 22-26, 2013 CCC
[21]	Barber T D 1986 The Society of Petrophysicists and Well Log Analysts (SPWLA)'s 27th Annual Logging Symposium Houston, Texas, June 9-13, 1986 EE
[22]	Barber T D, Rosthal R A 1991 The Society of Petroleum Engineers (SPE)'s Annual Technical Conference and ExhibitionDallas, Texas, October 6-9, 1991 22725
[23]	Lv W G, Chu Z T, Zhao X Q, Fan Y X, Song R L, Han W 2009 Chin. Phys. Lett. 26 014102
[24]	Cui Z W, Wang K X, Hu H S, Sun J G 2007 Chin. Phys. B 16 746
[25]	Zhang Z Y, Yu L M, Kriegshauser B, Tabarovsky L 2004 Geophysics 69 898
[26]	Wang H, Barber T, Morriss C, Rosthal R, Hayden R, Markley M 2006 The Society of Petroleum Engineers (SPE)'s Annual Technical Conference and Exhibition San Antonio, Texas, September 24-27, 2006 103113
[27]	Tsili W, Alex B, Bill C, Dan G, Michael R, Stephen D, Tang Y M 2006 The Society of Petrophysicists and Well Log Analysts (SPWLA)'s 47th Annual Logging SymposiumVeracruz, Mexico, June 4-7, 2006 QQQ
[28]	Rabinovich M, Tabarovsky L, Corley B, Horst J V, Epov M 2006 Petrophysics 47 506
[29]	Zhdanov M, Kennedy D, Peksen E 2001 Petrophysics 42 588
[30]	Zhong L L, Li J, Bhardwaj A, Shen L C, Richard C L 2008 IEEE Transactions on Geoscience and Remote Sensing 46 1148
[31]	Wei X K, Shao W, Shi S B, Zhang Y, Wang B Z 2015 Chin. Phys. B 24 070203
[32]	Zhou J M, Zhang Y, Wang H N, Yang S W, Yin C C 2014 Acta Phys. Sin. 63 159101 (in Chinese) [周建美, 张烨, 汪宏年, 杨守文, 殷长春 2014 63 159101]
[33]	Hong D C, Yang S D 2011 Acta Phys. Sin. 60 109101 (in Chinese) [洪德成, 杨善德 2011 60 109101]
[34]	Wang H N, Hu P, Tao H G, Yang S W 2012 Chinese J. Geophysics. 55 717 (in Chinese) [汪宏年, 胡平, 陶宏根, 杨守文 2012 地球 55 717]
[35]	Spies B R, Habashy T M 1995 Geophysics 60 834
[36]	Wang H M, Barber T, Chen K, Davydycheva S, Frey M, Homan D, Minerbo G, Morriss C, Rosthal R, Tumbiolo G 2006 The Society of Petroleum Engineers (SPE)'s Annual Technical Conference and Exhibition Beijing, China, December 5-7, 2006 103897
[37]	Wang H, Davydycheva S, Zhou J J, Frey M, Barber T, Abubakar A, Habashy T 2008 The Society of Petroleum Engineers (SPE)'s Annual Technical Conference and Exhibition Las Vegas, Nevada, November 9-14, 2008 0248
[38]	Ning Y, Nie X C, Liu R, Qiu C W 2010 Geophysics 75 E101
[39]	Doll H G 1949 Journal of Petroleum Technology 1 148
[40]	Gianzero S, Anderson B 1981 The Society of Petrophysicists and Well Log Analysts (SPWLA)'s 22th Annual Logging SymposiumMexico City, Mexico, June 23-26, 1981 I
[41]	Moran J H 1982 The Log Analyst 23 4
[42]	Zhang G J, Zhang Z Q 1998 IEEE Transactions on Geoscience and Remote Sensing 36 732
[43]	Zhang G J 2009 Electric Logging Algorithm (Beijing: Petroleum Industry Press) p88 (in Chinese) [张庚骥 2009 电测井算法(北京:石油工业出版社) 第88页]
[44]	Howard A Q, Chew W C 1990 IEEE Transactions on Geoscience and Remote Sensing 28 394
[45]	Alumbaugh D L, Wilt M J 2001 Petrophysics 42 19
[46]	Barber T, Anderson B, Abubakar A, Broussard T, Chen K C, Davydycheva S, Druskin V, Homan D, Minerbo G, Rosthal R, Schlein R, Wang H M 2004 The Society of Petroleum Engineers (SPE)'s Annual Technical Conference and Exhibition Houston, Texas, September 26-29, 2004 90526
[47]	Lu X Y, Alumbaugh D L 2001 Petrophysics 42 566

[1]	臧雨宸, 苏畅, 吴鹏飞, 林伟军. 零阶Bessel驻波场中任意粒子声辐射力和力矩的Born近似. , 2022, 71(10): 104302. doi: 10.7498/aps.71.20212251
[2]	陈桂波, 毕娟, 张烨, 李宗文. 各向异性介质三维电磁响应模拟的Ho-GEBA算法. , 2013, 62(9): 094101. doi: 10.7498/aps.62.094101
[3]	李琼, 翟永惠, 梁果, 郭旗. 各向异性介质中的椭圆空间光孤子特性. , 2013, 62(2): 024202. doi: 10.7498/aps.62.024202
[4]	杨红卫, 慕振峰, 王震. 精细积分法在含各向异性介质波导不连续性问题中的应用. , 2013, 62(13): 134101. doi: 10.7498/aps.62.134101
[5]	霍光谱, 胡祥云, 方慧, 黄一凡. 层状各向异性介质大地电磁联合反演研究. , 2012, 61(12): 129101. doi: 10.7498/aps.61.129101
[6]	洪清泉, 仲伟博, 余燕忠, 蔡植善, 陈木生, 林顺达. 电偶极子在磁各向异性介质中的辐射功率. , 2012, 61(16): 160302. doi: 10.7498/aps.61.160302
[7]	刘启能. 各向异性圆柱掺杂光子晶体的缺陷模及其量子效应. , 2011, 60(1): 014217. doi: 10.7498/aps.60.014217
[8]	洪德成, 杨善德. 大介电常数地层中多分量感应测井响应研究. , 2011, 60(10): 109101. doi: 10.7498/aps.60.109101
[9]	洪清泉, 余燕忠, 蔡植善, 陈木生, 林顺达. 磁偶极和电四极在磁各向异性介质中的辐射功率. , 2010, 59(8): 5235-5240. doi: 10.7498/aps.59.5235
[10]	李建龙, 唐世红, 朱世富, 傅克祥. 各向异性介质浮雕光栅体内光波场的传输. , 2010, 59(8): 5467-5473. doi: 10.7498/aps.59.5467
[11]	陈桂波, 汪宏年, 姚敬金, 韩子夜, 杨守文. 水平层状各向异性介质中电磁场并矢Green函数的一种高效算法. , 2009, 58(3): 1608-1618. doi: 10.7498/aps.58.1608
[12]	蓝可, 贺贤土, 赖东显, 李双贵. 柱输运管中扩散超声速辐射波的能流. , 2006, 55(7): 3789-3795. doi: 10.7498/aps.55.3789
[13]	杨利霞, 葛德彪. 磁各向异性色散介质散射的Padé时域有限差分方法分析. , 2006, 55(4): 1751-1758. doi: 10.7498/aps.55.1751
[14]	林宝勤, 徐利军, 袁乃昌. 以各向异性介质为衬底的共面紧凑型光子带隙结构. , 2005, 54(8): 3711-3715. doi: 10.7498/aps.54.3711
[15]	杜启振, 杨慧珠. 线性黏弹性各向异性介质速度频散和衰减特征研究. , 2002, 51(9): 2101-2108. doi: 10.7498/aps.51.2101
[16]	郑宏兴, 葛德彪. 广义传播矩阵法分析分层各向异性材料对电磁波的反射与透射. , 2000, 49(9): 1702-1705. doi: 10.7498/aps.49.1702
[17]	李国旺, 黄吝根, 杨顺华. 自由表面附近运动的位错——各向异性介质情况. , 1992, 41(1): 69-79. doi: 10.7498/aps.41.69
[18]	吕景发. 关于在各向异性介质中的契连科夫辐射. , 1965, 21(5): 1083-1088. doi: 10.7498/aps.21.1083
[19]	吕景发. 各向异性介质中契连科夫辐射的量子理论. , 1965, 21(5): 1049-1060. doi: 10.7498/aps.21.1049
[20]	顾福年. 关于求各向异性介质中电磁场的格林张量函数的一个方法. , 1962, 18(12): 636-645. doi: 10.7498/aps.18.636

计量

文章访问数: 6505
PDF下载量: 279
被引次数: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

搜索

留言板