A quantitative interpretation of the saturation exponent in Archie’s equations  

作　　者：Tong-Cheng Han Han Yan Li-Yun Fu 

机构地区：[1]School of Geosciences,China University of Petroleum(East China),Qingdao 266580,China [2]Laboratory for Marine Mineral Resources,Qingdao National Laboratory for Marine Science and Technology,Qingdao 266071,China

出　　处：《Petroleum Science》2021年第2期444-449,共6页石油科学（英文版）

基　　金：The authors would like to thank the National Natural Science Foundation of China(41874151,41821002);the Fundamental Research Funds for the Central Universities(18CX05008A)for financial support of this work.

摘　　要：Saturation exponent is an important parameter in Archie’s equations;however,there has been no well-accepted physical interpretation for the saturation exponent.We have theoretically derived Archie’s equations from the Maxwell–Wagner theory on the assumption of homogeneous fluid distribution in the pore space of clay-free porous rocks.Further theoretical derivations showed that the saturation exponent is in essence the cementation exponent for the water–air mixture and is quantitatively and explicitly related to the aspect ratio of the air bubbles in the pores.The results have provided a theoretical backup for the empirically obtained Archie’s equations and have offered a more physical and quantitative understanding of the saturation exponent.

关 键 词：Electrical properties Saturation exponent Archie equation Maxwell-Wagner theory 

分 类 号：TE311[石油与天然气工程—油气田开发工程]