对Aronofsky渗吸驱油机理经验模型的推导

Derivation for empirical model of Aronofsky′s imbibition displacement mechanism

 陈元千

 Chen Yuanqian

 中国石油勘探开发研究院，北京 100083

 Research Institute of Petroleum Exploration & Development, PetroChina, Beijing 100083, China

 由裂缝和基质组成的双孔隙介质油藏，在天然水驱和人工注水开发的条件下，由于致密基质的毛细管力对裂缝中水的渗吸作用，形成基质中油水两相的驱替流动。Aronofsky于1958年提出的渗吸驱油机理经验模型，被许多文献引用。尤其是陈钟祥和刘慈群引用后，于1980年提出的双重孔隙介质油水两相流动的驱替理论，受到国内外的重视。然而，无论是Aronofsky的累积渗吸驱油量经验模型，或是陈钟祥和刘慈群引用Aronofsky经验模型后提出的渗吸驱油量经验模型，均因缺少理论推导的依据而显得不足。文中应用油藏工程方法进行了理论上的推导，得到了Aronofsky的累积渗吸驱油量经验模型，以及陈钟祥和刘慈群引用Aronofsky经验模型后提出的渗吸驱油量经验模型。

 Oil-water two-phase displacement flow is formed in the matrix due to the capillary force′s imbibition to water from fracture under the condition of natural water drive or artificial water injection development in dual porosity reservoir composed of fracture and matrix. The empirical model of imbibition displacement mechanism proposed by Aronofsky in 1958 is cited by many literatures. Especially the displacement theory of oil-water two-phase flow in dual porosity medium proposed by Chen Zhongxiang and Liu Ciqun in 1980 is thought highly all over the world. However, both the empirical model of cumulative imbibition displacement amount from Aronofsky and the empirical model of imbibition displacement amount from Chen Zhongxiang and Liu Ciqun are lack of theoretical derivation. In this paper, theoretical derivation of the empirical models is proposed through using reservoir engineering method.

10.6056/dkyqt201506020