Application and Study on Relationship Between Relative Permeability Ratio and Water Saturation Curve

Li Jun; Kang Kai; Peng Xiaodong; Lu Yan; Jiang Lifu

doi:doi:10.11648/j.ogce.20160403.11

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Application and Study on Relationship Between Relative Permeability Ratio and Water Saturation Curve

Li Jun, Kang Kai, Peng Xiaodong, Lu Yan, Jiang Lifu

Published in International Journal of Oil, Gas and Coal Engineering (Volume 4, Issue 3)

Received: 29 March 2016 Accepted: 22 June 2016 Published: 28 June 2016

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Abstract

In the process of oil field development, the law of water cut is usually described by exponent model, but during the early water breakthrough stage and ultra-high water cut stage, relative permeability ratio of oil to water (K_ro/K_rw) and water saturation (S_w) is no longer linear relations in semilog coordinate, so it has an important influence on water cut increasing rate, theoretical production index, oil displacement efficiency, relationship between recovery and water cut etc. Based on relation curve character of relative permeability ratio of oil to water (K_ro/K_rw) and water saturation (S_w), this paper proposes a new function model in order to reduce prediction error, such as production index and water cut increasing rate. According to nonlinear properties of the model, Newton algorithm is supposed to be used for optimization solution. Finally, take relative permeability data of P Oilfield as an example to testify, and results show that fitting precision of the model is quite high and it possess nicer applicability. On this basis, the relationship between water cut and recovery, relationship between water cut increasing rate and recovery are derived. By comparing water cut and water cut increasing rate with recovery degree, it can be used to guide the development as the foundation of geology and reservoir of P Oilfield.

Published in	International Journal of Oil, Gas and Coal Engineering (Volume 4, Issue 3)
DOI	10.11648/j.ogce.20160403.11
Page(s)	24-29
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Relative Permeability Ratio, Water Saturation, Optimization Solution, Newton Algorithm

References

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[2]	Wang Y. C., Xiang Y., Deng L. Z., “Petrophysics”, Chengdu: Sichuan Publishing House of Science & Technology, August 2006.
[3]	Jiang M., Song F. X., Wu X. C., “Building and application of a mathematical model for water cut and time relationship”, Petroleum Exploration and Development, 1999, 26, (1), pp. 65-67.
[4]	Ren Y. L., “A new generalized water drive curve”, Xinjiang Petroleum Geology, 2006, 27, (2), pp. 188-190.
[5]	Miao F. f., Liu X. h., “Comprehensive Research and Practice of Law of Water Cut Rise of Water Flooding Oilfield”, Journal of Chongqing University of Science and Technology (Natural Sciences Edition), 2014, 16 (2): 71-73
[6]	Gao Li, Song K. P., Ma C. H., “Two straight lines to forecast development index of high water-cut oilfield”, Petroleum Drilling Techniques, 2008, 36, (5), pp. 72-74.
[7]	Li L. L., Song K. P., Gao L., “Water flooding behavior of high water-cut oilfield”, Petroleum Drilling Techniques, 2009, 37, (3), pp. 91-94.
[8]	Song Z. J., Li Z. P., Lai F. P., et al, “Derivation of water flooding characteristic curve for high water-cut oilfields”, Petroleum Exploration and Development, 2013, 40, (2), pp. 201-207.
[9]	Bing S. X., “Study on relative permeability equation adapted at ultra-high water-cut stage”, Journal of Oil and Gas Technology, 2012, 34, (10), pp. 118-120.
[10]	Guo K., Chen L., Wei Y. H., “Optimization and application”, Higher Education Press, 2007, pp. 75-76.
[11]	H. Mulyadi, R. Amin, A. F. Kennaird, (2001 Oct), “Practical Approach To Determine Residual Gas Saturation and Gas-Water Relative Permeability”, Presented at the 2001 SPE Annual Technical Conference.
[12]	M Oostrom, RJ Lenhard, “Comparison of relative permeability-saturation-pressure parametric models for infiltration and redistribution of a light nonaqueous-phase liquid in sandy porous media”, Advances in Water Resources, 1998, 21 (2): 145-157.
[13]	AA Hamouda, O Karoussi, EA Chukwudeme, “Relative permeability as a function of temperature, initial water saturation and flooding fluid compositions for modified oil-wet chalk”, Journal of Petroleum Science & Engineering, 2008, 63 (1–4): 61-72.
[14]	VH Nguyen, AP Sheppard, MA Knackstedt, WV Pinczewski, “The effect of displacement rate on imbibition relative permeability and residual saturation”, Journal of Petroleum Science & Engineering, 2006, 52 (1–4): 54-70.
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[16]	Y Shi, S Cheng, S Quan, “Fractal-based theoretical model on saturation and relative permeability in the gas diffusion layer of polymer electrolyte membrane fuel cells”, Journal of Power Sources, 2012, 209 (209): 130-140.

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APA Style

Li Jun, Kang Kai, Peng Xiaodong, Lu Yan, Jiang Lifu. (2016). Application and Study on Relationship Between Relative Permeability Ratio and Water Saturation Curve. International Journal of Oil, Gas and Coal Engineering, 4(3), 24-29. https://doi.org/10.11648/j.ogce.20160403.11

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ACS Style

Li Jun; Kang Kai; Peng Xiaodong; Lu Yan; Jiang Lifu. Application and Study on Relationship Between Relative Permeability Ratio and Water Saturation Curve. Int. J. Oil Gas Coal Eng. 2016, 4(3), 24-29. doi: 10.11648/j.ogce.20160403.11

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AMA Style

Li Jun, Kang Kai, Peng Xiaodong, Lu Yan, Jiang Lifu. Application and Study on Relationship Between Relative Permeability Ratio and Water Saturation Curve. Int J Oil Gas Coal Eng. 2016;4(3):24-29. doi: 10.11648/j.ogce.20160403.11

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@article{10.11648/j.ogce.20160403.11,
  author = {Li Jun and Kang Kai and Peng Xiaodong and Lu Yan and Jiang Lifu},
  title = {Application and Study on Relationship Between Relative Permeability Ratio and Water Saturation Curve},
  journal = {International Journal of Oil, Gas and Coal Engineering},
  volume = {4},
  number = {3},
  pages = {24-29},
  doi = {10.11648/j.ogce.20160403.11},
  url = {https://doi.org/10.11648/j.ogce.20160403.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ogce.20160403.11},
  abstract = {In the process of oil field development, the law of water cut is usually described by exponent model, but during the early water breakthrough stage and ultra-high water cut stage, relative permeability ratio of oil to water (Kro/Krw) and water saturation (Sw) is no longer linear relations in semilog coordinate, so it has an important influence on water cut increasing rate, theoretical production index, oil displacement efficiency, relationship between recovery and water cut etc. Based on relation curve character of relative permeability ratio of oil to water (Kro/Krw) and water saturation (Sw), this paper proposes a new function model in order to reduce prediction error, such as production index and water cut increasing rate. According to nonlinear properties of the model, Newton algorithm is supposed to be used for optimization solution. Finally, take relative permeability data of P Oilfield as an example to testify, and results show that fitting precision of the model is quite high and it possess nicer applicability. On this basis, the relationship between water cut and recovery, relationship between water cut increasing rate and recovery are derived. By comparing water cut and water cut increasing rate with recovery degree, it can be used to guide the development as the foundation of geology and reservoir of P Oilfield.},
 year = {2016}
}

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TY  - JOUR
T1  - Application and Study on Relationship Between Relative Permeability Ratio and Water Saturation Curve
AU  - Li Jun
AU  - Kang Kai
AU  - Peng Xiaodong
AU  - Lu Yan
AU  - Jiang Lifu
Y1  - 2016/06/28
PY  - 2016
N1  - https://doi.org/10.11648/j.ogce.20160403.11
DO  - 10.11648/j.ogce.20160403.11
T2  - International Journal of Oil, Gas and Coal Engineering
JF  - International Journal of Oil, Gas and Coal Engineering
JO  - International Journal of Oil, Gas and Coal Engineering
SP  - 24
EP  - 29
PB  - Science Publishing Group
SN  - 2376-7677
UR  - https://doi.org/10.11648/j.ogce.20160403.11
AB  - In the process of oil field development, the law of water cut is usually described by exponent model, but during the early water breakthrough stage and ultra-high water cut stage, relative permeability ratio of oil to water (Kro/Krw) and water saturation (Sw) is no longer linear relations in semilog coordinate, so it has an important influence on water cut increasing rate, theoretical production index, oil displacement efficiency, relationship between recovery and water cut etc. Based on relation curve character of relative permeability ratio of oil to water (Kro/Krw) and water saturation (Sw), this paper proposes a new function model in order to reduce prediction error, such as production index and water cut increasing rate. According to nonlinear properties of the model, Newton algorithm is supposed to be used for optimization solution. Finally, take relative permeability data of P Oilfield as an example to testify, and results show that fitting precision of the model is quite high and it possess nicer applicability. On this basis, the relationship between water cut and recovery, relationship between water cut increasing rate and recovery are derived. By comparing water cut and water cut increasing rate with recovery degree, it can be used to guide the development as the foundation of geology and reservoir of P Oilfield.
VL  - 4
IS  - 3
ER  -

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Author Information

Li Jun

CNOOC Ltd. Tianjin, Tianjin, China; Engaged in Reservoir Engineering and Reserve Evaluation, CNOOC Ltd. Tianjin, Tianjin, China
Kang Kai

CNOOC Ltd. Tianjin, Tianjin, China
Peng Xiaodong

CNOOC Ltd. Zhanjiang, Zhanjiang, Guangdong, China
Lu Yan

CNOOC Ltd. Zhanjiang, Zhanjiang, Guangdong, China
Jiang Lifu

CNOOC Ltd. Tianjin, Tianjin, China

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Plain Text BibTeX RIS

APA Style

Li Jun, Kang Kai, Peng Xiaodong, Lu Yan, Jiang Lifu. (2016). Application and Study on Relationship Between Relative Permeability Ratio and Water Saturation Curve. International Journal of Oil, Gas and Coal Engineering, 4(3), 24-29. https://doi.org/10.11648/j.ogce.20160403.11

Copy | Download

ACS Style

Li Jun; Kang Kai; Peng Xiaodong; Lu Yan; Jiang Lifu. Application and Study on Relationship Between Relative Permeability Ratio and Water Saturation Curve. Int. J. Oil Gas Coal Eng. 2016, 4(3), 24-29. doi: 10.11648/j.ogce.20160403.11

Copy | Download

AMA Style

Li Jun, Kang Kai, Peng Xiaodong, Lu Yan, Jiang Lifu. Application and Study on Relationship Between Relative Permeability Ratio and Water Saturation Curve. Int J Oil Gas Coal Eng. 2016;4(3):24-29. doi: 10.11648/j.ogce.20160403.11

Copy | Download

@article{10.11648/j.ogce.20160403.11,
  author = {Li Jun and Kang Kai and Peng Xiaodong and Lu Yan and Jiang Lifu},
  title = {Application and Study on Relationship Between Relative Permeability Ratio and Water Saturation Curve},
  journal = {International Journal of Oil, Gas and Coal Engineering},
  volume = {4},
  number = {3},
  pages = {24-29},
  doi = {10.11648/j.ogce.20160403.11},
  url = {https://doi.org/10.11648/j.ogce.20160403.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ogce.20160403.11},
  abstract = {In the process of oil field development, the law of water cut is usually described by exponent model, but during the early water breakthrough stage and ultra-high water cut stage, relative permeability ratio of oil to water (Kro/Krw) and water saturation (Sw) is no longer linear relations in semilog coordinate, so it has an important influence on water cut increasing rate, theoretical production index, oil displacement efficiency, relationship between recovery and water cut etc. Based on relation curve character of relative permeability ratio of oil to water (Kro/Krw) and water saturation (Sw), this paper proposes a new function model in order to reduce prediction error, such as production index and water cut increasing rate. According to nonlinear properties of the model, Newton algorithm is supposed to be used for optimization solution. Finally, take relative permeability data of P Oilfield as an example to testify, and results show that fitting precision of the model is quite high and it possess nicer applicability. On this basis, the relationship between water cut and recovery, relationship between water cut increasing rate and recovery are derived. By comparing water cut and water cut increasing rate with recovery degree, it can be used to guide the development as the foundation of geology and reservoir of P Oilfield.},
 year = {2016}
}

Copy | Download

TY  - JOUR
T1  - Application and Study on Relationship Between Relative Permeability Ratio and Water Saturation Curve
AU  - Li Jun
AU  - Kang Kai
AU  - Peng Xiaodong
AU  - Lu Yan
AU  - Jiang Lifu
Y1  - 2016/06/28
PY  - 2016
N1  - https://doi.org/10.11648/j.ogce.20160403.11
DO  - 10.11648/j.ogce.20160403.11
T2  - International Journal of Oil, Gas and Coal Engineering
JF  - International Journal of Oil, Gas and Coal Engineering
JO  - International Journal of Oil, Gas and Coal Engineering
SP  - 24
EP  - 29
PB  - Science Publishing Group
SN  - 2376-7677
UR  - https://doi.org/10.11648/j.ogce.20160403.11
AB  - In the process of oil field development, the law of water cut is usually described by exponent model, but during the early water breakthrough stage and ultra-high water cut stage, relative permeability ratio of oil to water (Kro/Krw) and water saturation (Sw) is no longer linear relations in semilog coordinate, so it has an important influence on water cut increasing rate, theoretical production index, oil displacement efficiency, relationship between recovery and water cut etc. Based on relation curve character of relative permeability ratio of oil to water (Kro/Krw) and water saturation (Sw), this paper proposes a new function model in order to reduce prediction error, such as production index and water cut increasing rate. According to nonlinear properties of the model, Newton algorithm is supposed to be used for optimization solution. Finally, take relative permeability data of P Oilfield as an example to testify, and results show that fitting precision of the model is quite high and it possess nicer applicability. On this basis, the relationship between water cut and recovery, relationship between water cut increasing rate and recovery are derived. By comparing water cut and water cut increasing rate with recovery degree, it can be used to guide the development as the foundation of geology and reservoir of P Oilfield.
VL  - 4
IS  - 3
ER  -

Copy | Download