A Production Prediction Model for Fractured Horizontal Wells with Irregular Fracture Network in Low Permeability Reservoirs

doi:10.19596/j.cnki.1001-246x.8745

Abstract

Abstract:

A non-uniform complex fracture network structure formed by fracturing is considered with introducing the fractal theory and combining the stress sensitivity of fracture system to demonstrate the change of fluid flow capacity, and a production prediction model for three-zone compound seepage flow in fractured horizontal wells in low permeability reservoirs is established successfully in this paper. Laplace transform, perturbation theory, and numerical inversion are applied to obtain the analytical solution of the proposed production model, and the productivity formulas for single well under two situations of uniform and non-uniform distribution of fractures in horizontal wells are derived. The reliability of the production prediction model is verified with the real production data and basic parameters of a fractured horizontal well in Bohai oilfield, and the effects of related influential parameters on production of horizontal well are analyzed. The research results show that smaller the stress sensitivity coefficient and threshold pressure gradient results in larger the oil production. Larger the fractal dimension contributes to larger the horizontal well production. Additionally, the oil production increases with the increase of the number of fractures and fracture half-length, but the growth rate slows down, which means these parameters have optimal values.

Key words: low permeability reservoirs, fractured horizontal wells, fracture network, fractal, production prediction

CLC Number:

O469

Siyu LIU, Kun WANG, Mingying XIE, Shasha FENG, Li LI, Yang GAO. A Production Prediction Model for Fractured Horizontal Wells with Irregular Fracture Network in Low Permeability Reservoirs[J]. Chinese Journal of Computational Physics, 2024, 41(4): 503-514.

Figures/Tables 10

Fig.1 Three-zone composite seepage model for fractured horizontal wells in low permeability reservoir

Fig.2 Uniform fracture distribution of fractured horizontal wells

Fig.3 Non-uniform fracture distribution of fractured horizontal wells

Table 1 Basic parameters of a fractured horizontal well in Bohai Oilfield

参数	取值	参数	取值
油藏初始压力，p₀/MPa	56	地层原油黏度，μ₁, μ₂, μ₃/(mPa·s)	1.13
井底流压，p_w/MPa	43	主裂缝初始渗透率，k₁₀/D	25
储层形状因子，α/(10³ m^-2)	1.5	裂缝网络初始渗透率，k₁₀/mD	450
主裂缝宽度，w_f/(10² m)	1	基质渗透率，k_2m, k₃/mD	7.4
油藏半宽，x_e/m	200	储层有效厚度，h/m	32
基质系统孔隙度，Ø_2m, Ø₃/%	13.7	原油体积系数，B	1.361
裂缝系统孔隙度，Ø₁, Ø_2f0/%	15	分形维数，D	1.532
裂缝数量，N_f/条	5	裂缝间距半长，y_e/m	40
应力敏感系数，γ/MPa^-1	0.095	启动压力梯度，G₃/(MPa·m^-1)	0.001 2

Fig.4 Model results vs. real production data

Fig.5 Effect of fracture half-length on production of horizontal wells (a) daily production rate; (b) cumulative production rate

Fig.6 Effect of fracture number on production of horizontal wells (a) daily production rate; (b) cumulative production rate

Fig.7 Effect of fractal dimension on production of horizontal wells (a) daily production rate; (b) cumulative production rate

Fig.8 Effect of stress sensitivity factor on production of horizontal wells (a) daily production rate; (b) cumulative production rate

Fig.9 Effect of threshold pressure gradient on production of horizontal wells (a) daily production rate; (b) cumulative production rate

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