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Mathematical Model for Stimulation of CBM Reservoirs During Graded Proppant Injection

机译:分级支撑剂注射过程中CBM储层刺激的数学模型

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A modelling-based prediction of well productivity enhancement for recently developed technology for stimulation of natural fracture systems in CBM reservoirs is presented.The proposed technology can also be used for productivity enhancement of gas wells in other unconventional reservoirs,i.e.,shales and tight gas reservoirs.Injection of proppant particles with increasing size and decreasing concentration results in deep percolation of proppant into the natural fracture system, expansion of the stimulated zone and increase of well productivity index.A modified mathematical model for well indices during graded particle injection,accounting for stress changes in coal beds,is developed.The model is based on analytical solution for quasi 1D problem with coupling of axisymmetric fluid flow and geomechanics.The results of previous computational fluid dynamic studies have been used to determine hydraulic resistance due to proppant placement in the fractured system.Explicit analytical equations were derived for stress,pressure and permeability distributions,as well as for the well index during injection and production.Results of previous computational fluid dynamics studies were used to determine the hydraulic resistance resulting from proppant plugging in the fractured system.By applying the effect of proppant concentration and fracture deformation,a critical stimulation radius is introduced beyond which proppant placement decreases coal permeability and well productivity index.This model has been applied for a real field case,and the effect of injection pressure on well productivity index and stimulation radius is presented.The results show significant increase in productivity index due to graded proppant injection in CBM reservoirs.
机译:介绍了基于良好的基于​​良好开发的CBM储存器刺激自然骨折系统的良好生产能力的建模预测。所提出的技术也可用于其他非常规储层的天然气井的生产率提高,即Hales和狭长的气体储层。推动支撑剂颗粒的尺寸增加和浓度降低导致支撑剂进入自然骨折系统的深层渗透,刺激区的扩张和井生产力指数的增加。分级粒子注射过程中的井指数的改良数学模型,占压力开发了煤层的变化。该模型基于轴对称流体流动和地质机械耦合的准1D问题的分析解决方案。先前计算流体动力学研究的结果已被用于确定由于裂缝中的支撑剂放置引起的液压阻力system.explex分析方程被推导出用于应力,压力和渗透性分布,以及注射过程中的井指数。先前的计算流体动力学研究的结果用于确定由裂缝系统中的支撑剂堵塞所产生的液压阻力。应用效果支撑剂浓度和断裂变形,引入关键刺激半径,超出支撑剂放置降低煤渗透性和良好的生产率指数。本模型已经施加了真实的壳体,并提出了注射压力对井生产率指数和刺激半径的影响。结果表现出CBM储层中分级支撑剂注射的生产率指数显着增加。

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