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Fracture Trajectory Simulation of Steering Fracturing Based on Three-Field Coupling Stress

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Chemistry and Technology of Fuels and Oils Aims and scope

Steering fracturing is the key technology applied to stimulate and enhance oil recovery in tight sandstone reservoirs. In this paper, based on the integration of theoretical background of the porous media fluid mechanics, rock mechanics, and thermodynamics, a heat-fluid-solid three-field coupling stress model is established to simulate the steering fracturing, considering the adjacent well production and rock deformation. To solve the coupling flow equations and coupling temperature field equations, the finite difference method is adopted, while the finite element method is applied to solve the rock deformation equations and provide an explicit alternative approach to the whole model. The model is used to predict stress variations during production/injection processes and multistage artificial fracturing based on the heat-fluid-solid three-field coupling effect. The impact of multiple-field induced stresses on steering fracturing in wells containing vertical fractures can be quantitatively analyzed and simulated accordingly. Finally, a case study is performed to verify the model according to the characteristics of fiber steering fracturing, failure pressure distribution around the well-bore, characteristics analysis of G-function, and interpretation results of microseismic monitoring.

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Abbreviations

v ro :

true flow velocity of oil phase in porous media relative to rock, m/s;

v o :

absolute flow velocity of oil phase, m/s;

v s :

absolute velocity of solid rock, m/s;

ϕ :

porosity of formation rock, %;

k :

absolute permeability of formation, × 10-3 μm2;

a :

subscription o,w represents oil and water phase, respectively;

∇ =:

\( \frac{\partial }{\partial x}\overrightarrow{i}+\frac{\partial }{\partial y}\overrightarrow{j}; \)

S a :

saturation of oil phase or water phase, %;

k ra :

relative permeability of fluid;

μ a :

viscosity of fluid, mPa- s;

p a :

pressure of fluid, MPa;

p fa :

fluid pressure in artificial fractures. MPa;

ε v :

volume strain, m3;

τ a :

fluid exchange factor between deformable formation and artificial fractures in volumetric units, m3/MPa;

q a :

sink/source in unit volume: refer: to sink when positive, or to source when negative, m3;

P c :

capillary pressure, MPa;

P fc :

capillary pressure in artificial fractures, MPa;

S fc :

fluid saturation in artificial fractures, %;

ε x, ε y :

volume strain in x and y direction, m3;

ε ij :

component of strain;

μ ij, μ ji,:

component of displacement;

σ :

total strain, m3;

G :

shear modulus of rock, MPa;

λ :

Lamé’s constant, MPa;

I :

unit tensor, \( \left\{\begin{array}{ccc}1& 0& 0\\ {}0& 1& 0\\ {}0& 0& 1\end{array}\right\}; \)

K :

compression modulus of rock matrix, N/m3;

K s :

compression modulus of solid grain, N/m2;

α :

modification factor, dimensionless;

α T =:

thermal stress factor, (N/ m2)-K;

\( \overline{p} \) :

average fluid pressure, MPa;

β T :

thermal expansion tensor, 1/K;

T :

absolute temperature, K;

T 0 :

temperature without stress, K;

di :

intrinsic energy per unit volume of rock, J;

dq :

heat received per unit volume, J;

σ ij, ε ij :

stress tensor and strain tensor, respectively;

σ ij dε ij :

strain energy increase per unit volume, J;

s :

specific entropy, J/ (kg-K);

f :

Helmholtz free energy, J/kg;

c v :

constant volume specific heat, J/kg∙K

ρ :

fluid density, kg/m3;

ρ s :

rock density, kg/m3;

λ T :

coefficient of heat conductivity, W/(m-K).

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Acknowledgments

This work was supported by the National Natural Science Foundation of China (No. 51504042). the Sub-project under the National Science and Technology Support Program (No. 2016LY05048-001-04- LH), and the Foundation Key Projects of Sichuan Education Department (No. 18ZA0063).

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Authors and Affiliations

  1. College of Energy, Chengdu University of Technology, Chengdu, 610059, Sichuan, China

    Yang Xiao, Zi-wei Zhang, Shou-yu Liu, Wen He, Zi-long Liu & Li-ying Zhang

  2. Chengdu LiGong Sun-Energy Technology Co. Ltd, Chengdu, 610059, Sichuan, China

    Yang Xiao, Shou-yu Liu, Wen He & Zi-long Liu

  3. Northwest Oilfield Company, Sinopec, Urumqi, 830000, Xin Jiang, China

    Li-ying Zhang

  4. Chengdu Urban Safety and Emergency Management Research Institute, Chengdu, 610031, Sichuan, China

    Zi-wei Zhang

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  1. Yang Xiao
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Correspondence to Zi-wei Zhang.

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Translated from Khimiya i Tekhnologiya Topliv i Masel, No. 2, pp. 96 — 99, March—April, 2021.

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Xiao, Y., Zhang, Zw., Liu, Sy. et al. Fracture Trajectory Simulation of Steering Fracturing Based on Three-Field Coupling Stress. Chem Technol Fuels Oils 57, 376–386 (2021). https://doi.org/10.1007/s10553-021-01256-5

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  • DOI: https://doi.org/10.1007/s10553-021-01256-5

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