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Finite element method has been used to study the flow characteristics of perforated wells and to investigate perforator penetration and damage mechanism in combination with core target experiments. Establishment of a finite element mathematical model for a core perforation and its numerical solution are presented in detail. The effect on productivity ratio and skin factor of depth of penetration, hole diameter, hole density, phase, format, damage depth, damage percentage, compaction zone depth, compaction perc... Finite element method has been used to study the flow characteristics of perforated wells and to investigate perforator penetration and damage mechanism in combination with core target experiments. Establishment of a finite element mathematical model for a core perforation and its numerical solution are presented in detail. The effect on productivity ratio and skin factor of depth of penetration, hole diameter, hole density, phase, format, damage depth, damage percentage, compaction zone depth, compaction perc entage, wellbore radius, drainage boundary radius, K_z/K_r ratio, bottom hole pressure, boundary pressure and production pressure difference is considered in the mathematical model. Grid sensitivity analysis ensures convergence and accuracy of calculation. An example is given to illustate the flow behavior of the core target, and the effect of perforating parameters on productivity ratio is analyzed. The table listed in API RP 43 is shown by calculation, electric modelling and core target experiment to be less reliable. Revision of these data will help evaluation of core flow efficiency. Compaction zone permeability can also be obtained by back calculation. 本文探讨了有限元方法在射孔研究中的应用,较详细的论述了射孔有限元数学模型的建立及数值求解方法。数学模型考虑了孔深、孔径、孔密、相位、格式、污染深度、污染程度、压实带厚度、压实程度、井筒半径、边界半径、地层垂向与径向渗透率比值、井底压力、边界压力、生产压差等十四个参数对射孔井产率比、表皮系数的影响。利用网格敏感度分析方法保证了数值计算的收敛性和精度。举例说明了有限元法所得出的射孔岩心靶流动规律,和分析了射孔参数对PR的影响。 This paper presents a new electrical analogous equipment ,which has solved the problem of a compacted zone around the perforation and drilling damages around the wellbore. Under negative pressure there is no blocking up by perforation debris. The equipment is designed for the parameter range under negative pressure. The experiment was arranged and conducted with the application of mathematical statistics in terms of nine parameters: perforation penetration, perforation diameter, shot density, compaction thickness,... This paper presents a new electrical analogous equipment ,which has solved the problem of a compacted zone around the perforation and drilling damages around the wellbore. Under negative pressure there is no blocking up by perforation debris. The equipment is designed for the parameter range under negative pressure. The experiment was arranged and conducted with the application of mathematical statistics in terms of nine parameters: perforation penetration, perforation diameter, shot density, compaction thickness, compaction damage, perforation phasing peoforation model, drilling damage and damage depth.The advantage of this technique is less times of tests and simple date treatment.The regression equation can predict the effects of the nine parameters upon well production .The results derived from permeability theory are applicable to any homogeneous reservoir. 本文提出了一种新的电模拟实验装置及其实验方法。装置解决了对孔眼周围射孔压实带和井壁周围钻井污染带的模拟。在负压射孔条件下,不存在射孔碎屑将孔眼堵死的情况,射孔排布稳定可靠。装置按负压射孔条件下的参数设计,运用数理统计方法安排实验,对射孔深度、孔径、孔密、压实带厚度、压实带损害程度、布孔角度、射孔格式、污染程度、污染深度等九个影响因素开展研究,具有实验次数少,数据处理简便等优点。所得回归公式可预报这九个因素对油井产量的影响,经渗流理论推演,结果可适用于任何均质油藏。 Using well testing data, this paper evaluates the damage degree, damage depth and the results of ormation stimulation for Tzahong Carbonic period sandstone reservoir in Tarim. Based on the phenomenon that the farther the distance to borehole axis, the slighter the damage of formation, the skin factor is divided, the applications of well testing data are enhanced. It has a guide function for formation stimulation 本文利用地层测试资料,在对塔里木塔中石炭系砂岩储层的污染程度、污染深度及措施增产率进行评价时,根据离井轴愈远污染愈轻的现象,首先对表皮系数进行了分解,加深了地层测试资料的应用,对矿场进行增产措施有指导作用。
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