天然气地球科学 ›› 2022, Vol. 33 ›› Issue (9): 15091517.doi: 10.11764/j.issn.1672-1926.2022.04.003
詹泽东1,2,3(),郭彤楼2,赵爽2,王勇飞2,郭科3,周仲礼3,毕有益2
Zedong ZHAN1,2,3(),Tonglou GUO2,Shuang ZHAO2,Yongfei WANG2,Ke GUO3,Zhongli ZHOU3,Youyi BI2
摘要:
根据油气井实际生产过程中普遍存在近似先定产降压、再定压降产的生产特征,开展在有界储层拟稳态阶段改用定压生产模式的产量递减模型研究,为明确油气井产量递减的渗流机理提供一种新的理论依据。依托Hiles and Mott模型,通过理论推导建立了有界储层在拟稳态阶段定压生产的产量递减模型。结果表明:该模型形式上与Arps递减模型具有一致性,但相比Arps产量递减模型,该模型更具一般性,即当Hiles and Mott指数为1时,流体渗流遵循达西定律,拟稳态阶段改变生产方式为定压生产情况下,油气井产量递减遵行指数递减;当Hiles and Mott指数在0.5~1区间时,流体渗流表现为高速非达西渗流,递减模型为幂律递减;当Hiles and Mott指数为0.5时,遵行直线递减模型;当Hiles and Mott指数大于1时,流体渗流为非达西低速渗流条件下,产量递减模型转化为双曲递减模型,并且用Arps形式表征的3个参数之间具有非线性相关性,且满足质量守恒定律,特别是当Hiles and Mott指数趋于无限大时,油气井产量递减模型无限接近于Arps递减模型的调和递减。这就为有界储层采用Arps递减模型开展油气井动态诊断赋予了渗流机理解释,解释了Arps递减模型质量不守恒和调和递减累计产量模型无界性的原因,对深入与扩展Arps产量递减模型的应用具有重要理论意义,也为利用产量递减模型开展储层参数反演提供了科学依据。
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