收稿日期: 2013-10-23
修回日期: 2013-12-10
网络出版日期: 2014-06-10
基金资助
国家自然基金“页岩气藏多级压裂水平井流动特征及产能评价方法研究”(编号：51374227)；国家重大专项“大型油气田及煤层气开发科技重大专项”之“特低渗油藏有效开发技术”（编号：2011ZX0513-006)；国家重大专项“薄互层低渗油藏先导试验区块开发技术政策研究”（编号：2011ZX05051005-002);国家自然基金“基于新模型的低渗透油藏非线性渗流论”（编号：51174223）联合资助.
The New Model for Matrix and Fracture Permeability in Shale Reservoir
Received date: 2013-10-23
Revised date: 2013-12-10
Online published: 2014-06-10
渗透率作为重要的物性参数，决定着流体的流动能力。以页岩储层的基质和裂缝为研究对象，综合国内外最新研究成果，总结出气体在基质中存在的2种扩散作用:Knudsen扩散和Fick扩散。详细分析了2种扩散的产生机理:Knudsen扩散是由气体分子与孔道壁面之间的碰撞引起；而Fick扩散是由于浓度差的作用。将2种扩散作用同时考虑进气体在基质的流动中，推导得出气体在基质中的视渗透率新模型，分别分析Knudsen扩散和Fick扩散对基质视渗透率的影响。对P & M模型进行修正，将Klinkenberg效应也考虑进模型里，给出不同机制影响下的裂缝渗透率变化模型，并分析Klinkenberg效应对裂缝视渗透率的影响。结果表明:①对于基质视渗透率模型来说，当孔道半径较小时，Knudsen扩散对渗透率有着较大的影响；另外，在低压和较低的基质渗透率时，Fick扩散对基质视渗透率影响显著。②对裂缝视渗透率模型来说，只有在低压的情况下，Klinkenberg效应对裂缝视渗透率影响才会显现出来。
关键词： 视渗透率; Knudsen扩散; Fick扩散; Klinkenberg效应; 修正
姜瑞忠，汪洋，贾俊飞，孔垂显 . 页岩储层基质和裂缝渗透率新模型研究[J]. 天然气地球科学, 2014 , 25(6) : 936 -939 . DOI: 10.11764/j.issn.1672-1926.2014.06.936
Permeability is an important physical parameter,which determines the fluid flow ability.Take shale reservoir matrix and fracture as the research object,combine the new research results from home and abroad,two kinds of diffusion in the matrix were presented:Knudsen diffusion and Fick diffusion.Knudsen diffusion is caused by the collisions between gas molecules and the hole wall while Fick diffusion is due to the effect of concentration difference.Taking two diffusion effects into account in the matrix,the new gas permeability model in the matrix was deduced to analyze the Knudsen diffusion and Fick diffusion effects on permeability in the matrix.To amend the P & M model,the Klinkenberg effect was also considered in the model,the permeability change model under the influence of different mechanisms were presented.And then the influence of the Klinkenberg effect on the permeability of fracture was analyzed.Results show that:(1)For matrix permeability model,when the pore radius is small,Knudsen diffusion has a great influence on permeability;Furthermore,the impact of Fick diffusion on matrix permeability is remarkable at low pressure and small matrix permeability.(2)For fracture permeability model,the impact of Klinkenberg effect emerges only at low pressure.
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