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Low-Velocity Nonlinear Flow in Tight Reservoir on The Basis of Fluidity and Wettability

  • Research Article-Petroleum Engineering
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Abstract

The low-velocity flow in tight reservoir deviates from the traditional Darcy’s law, and this phenomenon is described as nonlinear flow. In order to study the main controlling factors of low-velocity nonlinear flow and the flow characteristics of tight reservoir, the tight oil reservoir in Jimsar Sag, Xinjiang, China, was taken as the research object. Firstly, the physical model experiment of single-phase simulated oil flow is carried out. Then, by analyzing the physical properties of the reservoir and crude oil and experimental data, a fluidity-based low-velocity nonlinear flow mathematical model was established for the “upper and lower sweet spot” reservoirs. At last, according to the influence of fluidity and the wettability index on the threshold pressure gradient, a three-dimensional figure was constructed. Research results show that the parameters in the nonlinear flow mathematical model and fluidity have a good power function relationship. Moreover, for the “upper and lower sweet spot” reservoirs, the relative average errors between the calculated data of the nonlinear flow mathematical model and the experimental data are 4.75 and 3.76%, which indicate good adaptability to tight oil reservoirs in the Jimsar Sag. In the three-dimensional figure, the “upper and lower sweet spot” reservoirs are divided into three different main controlling factor areas corresponding to the change in threshold pressure gradient. In addition, the calculation data of the nonlinear flow mathematical model conform to the regional division of the characteristic figure, clarifying the influencing factors of the low-velocity nonlinear flow in tight reservoirs.

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Abbreviations

\(I_{\text{w}}\) :

Water wettability index

\(V_{\text{o1}}\) :

Volume of water displacement oil, mL

\(V_{\text{o2}}\) :

Volume of water absorption and oil discharge, mL

\(I_{\text{o}}\) :

Oil wettability index,

\(V_{{\text{w}}{1}}\) :

Volume of oil displacement water, mL

\(V_{\text{w2}}\) :

Volume of oil absorption and water discharge, mL

\({\text{AI}}\) :

Relative wettability index.

\(V\) :

Input rate, ml/min

\({\text{a}}\) :

Coefficient of the second term of a quadratic function

\({\text{b}}\) :

Coefficient of the first term of a quadratic function

\({\text{c}}\) :

Coefficient of constant term of a quadratic function

\( \Delta P\) :

Injection pressure differential, MPa

L :

Length of the core, cm

\({\lambda }_{a}\) :

Minimum threshold pressure gradient, MPa/cm

\({\lambda }_{b}\) :

Pseudo-threshold pressure gradient, MPa/cm

\({\lambda }_{c}\) :

Maximum threshold pressure gradient, MPa/cm

\(K\) :

Core permeability, mD

\(\mu \) :

Viscosity of crude, mPa s

\(\frac{K}{\mu }\) :

Fluidity (permeability to viscosity ratio), mD/mPa s

\({(\frac{k}{\mu })}_{0}\) :

Pseudo-linear slope

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Acknowledgements

The authors are thankful for the support from Opening Project of Oil and Gas Field Applied Chemistry Key Laboratory of Sichuan Province (YQKF202010), Science and Technology Planning Project of Sichuan Province (2018JY0515).

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Authors and Affiliations

  1. College of Chemistry and Chemical Engineering, Southwest Petroleum University, Chengdu, 610500, Sichuan, China

    Longtao Liu, Zhongbin Ye, Lei Tang & Nanjun Lai

  2. State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu, 610500, Sichuan, China

    Zhongbin Ye

  3. College of Oil & Gas Engineering, Southwest Petroleum University, Chengdu, 610500, Sichuan, China

    Dong Liu & Yuxiao Wu

  4. CNOOC China Limited Tianjin Branch, Binhai New Area, Tianjin, 300459, China

    Dong Liu

  5. Sichuan Provincial Key Laboratory of Applied Chemistry for Oil and Gas Fields, Chengdu, 610500, Sichuan, China

    Nanjun Lai

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  1. Longtao Liu
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Correspondence to Zhongbin Ye or Nanjun Lai.

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Liu, L., Ye, Z., Liu, D. et al. Low-Velocity Nonlinear Flow in Tight Reservoir on The Basis of Fluidity and Wettability. Arab J Sci Eng 47, 11999–12012 (2022). https://doi.org/10.1007/s13369-022-06797-3

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  • DOI: https://doi.org/10.1007/s13369-022-06797-3

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