A Pseudo-Steady-State Productivity Prediction Method for Fractured Carbonate Gas Wells Considering Stress-Sensitivity Effects
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摘要: 为了准确评价非达西效应和应力敏感效应对裂缝性碳酸盐岩气井产能的影响，建立了一种双重介质径向复合二项式产能综合模型。该模型分为内外2个区域，其中内区用于模拟气井经过压裂后的生产过程，并利用该产能模型计算了四川盆地某裂缝性碳酸盐岩气藏实例井的产能。计算结果表明，与一点法相比，新模型能更合理地预测裂缝性碳酸盐岩储层气井的绝对无阻流量，现场应用效果良好。参数敏感性分析表明，应力敏感因素主要影响气井生产后期；地层系数对气井的绝对无阻流量有较大的影响，地层渗透率和地层厚度越大，越有利于气井开发。综合考虑非达西效应和应力敏感效应的裂缝性碳酸盐岩气藏产能预测模型，为气藏的高效开发和合理配产提供了理论依据。Abstract: To accurately evaluate the impact of the non-Darcy and stress-sensitivity effects on the productivity of fractured carbonate gas wells, a new dual-media binomial productivity model for radial compound reservoirs was established. The model is divided into an inner zone and an outer zone, in which the inner zone is designed to simulate the production process of gas wells after fracturing treatment. The new model is used to calculate the productivity of a well in a fractured carbonate gas reservoir in the Sichuan Basin. The calculation results showed that the model can predict the absolute open flow of gas wells in fractured carbonate reservoirs more reasonably and has achieved better field application results than the one-point method. According to the parameter sensitivity analysis, stress sensitivity factors mainly influence the late production stage of gas wells, and the formation coefficient plays an important role in influencing the absolute open flow, which demonstrates that formations with higher permeability and thickness are more favorable to the development of gas wells. The productivity prediction model of fractured carbonate gas reservoirs, which comprehensively considers non-Darcy and stress-sensitive effects, can provide a theoretical basis for the efficient development and reasonable production allocation of gas reservoirs.
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Key words:
- fractured reservoir /
- carbonate rock /
- non-Darcy effect /
- stress sensitivity /
- dual media /
- radial compound /
- productivity forecast
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图 1 双重介质两区径向复合模型
Figure 1. Dual-media model for radial compound reservoirs with two zones
图 2 不同应力敏感系数下的IPR曲线
Figure 2. Inflow performance relation (IRP) curves under different stress sensitivity coefficients
表 1 不同产能模型的气井参数计算结果
Table 1. Calculation results of gas well parameters from different productivity models
参数 计算结果 参数 计算结果 模型1 模型2 模型1 模型2 A 73.814 4 72.864 9 B 23.163 9 24.973 8 A1 59.499 0 58.700 6 A2 14.315 4 14.164 4 B1 18.050 5 19.919 8 B2 5.113 4 5.054 0 D1 7.407 5 7.308 0 D2 634.887 5 620.830 5 E1 4.126×10–4 4.071×10–4 E2 1.488×10–5 1.468×10–5 F1 34.533 9 30.458 9 F2 87.535 9 84.677 6 G1 1.0827×10–2 1.0107×10–2 G2 6.9299×104 6.8679×104 注：模型1为不考虑应力敏感的单区双重介质模型，模型2为考虑应力敏感双重介质两区径向复合模型。 
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表 2 不同产能模型计算结果对比
Table 2. Comparisons among calculation results from different productivity models
产能模型 无阻流量/
（104m3·d–1）与试井解释结果
的相对误差，%一点法 54.47 –13.54 不考虑应力敏感的单区径向复合模型 81.67 29.63 不考虑应力敏感的两区径向复合模型 75.40 19.68 考虑应力敏感的两区径向复合模型 65.80 4.44
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