从电阻率数据中得到相对渗透率的新方法

A new method for estimating relative permeability with resistivity data

马东 吴华 曾鸣

Ma Dong Wu Hua Zeng Ming

相对渗透率是储层评价、油田开发和油藏数值模拟等方面的重要参数，一般通过稳态和非稳态法来获取相对渗透率数据。由于相对渗透率实验所需周期长、成本高，且条件较为苛刻，因此获取相对渗透率数据具有一定难度，而通过现场电阻率测井和室内实验则较为容易获取电阻率数据。本文通过毛细管束模型和阿尔奇电阻率公式，并在引入迂曲度的情况下，推导了一种从电阻率数据中计算相对渗透率数据的新方法。通过文献数据和实验数据对新方法的计算精度进行了验证。结果表明，从电阻率数据得到的水相相对渗透率数据具有很高的精度。在缺少相对渗透率数据的情况下，可以通过新方法从电阻率数据中估算水相相对渗透率。

Relative permeability is a key parameter in reservoir description, oil & gas field development and numerical reservoir simulation.Steady-state and unsteady-state methods are often used for determining the parameter.However, the relative permeability can't easily be obtained through the experiments as they are often time-consuming, expensive, and sometimes require certain experimental conditions.In contrast, resistivity data are easy to get through laboratory measurements and well logging.This paper proposes a new method of getting relative permeability by using easily-obtained resistivity data through a combination of capillary tube model and Archie equation and introduction of tortuosity.The method was verified by data from the published literatures and experiment results.It shows that the relative permeability of water phase obtained through the method is highly comparable to that acquired through experiment method.So when relative permeability data are inadequate or unavailable, we can estimate the relative permeability of water phase by using the method based on resistivity data.

10.11743/ogg20150421