TITLE:
An Algorithm to Determine the Truncated Weibull Parameters for Distribution of Throats and Pores in Random Network Models
AUTHORS:
Fei Shi, Junda Wu, Tao Chang, Cangjun Sun, Xiaozhang Wu
KEYWORDS:
Random Network Models, Capillary Pressure Curve, Average Dimensionless Throat Sizes, Truncated Weibull Distribution
JOURNAL NAME:
Journal of Geoscience and Environment Protection,
Vol.10 No.10,
October
25,
2022
ABSTRACT: In random network models, sizes for pores and throats are distributed
according to a truncated Weibull distribution. As a result, parameters defining
the shape of the distribution are critical for the characteristic of the
network. In this paper, an algorithm to distribute pores and throats in random
network was established to more representatively describe the topology of
porous media. First, relations between Weibull parameters and the distribution
of dimensionless throat sizes were studied
and a series of standard curves were obtained. Then, by analyzing the capillary
pressure curve of the core sample, frequency distribution histogram of throat
sizes was obtained. All the sizes were transformed to dimensionless numbers
ranged from 0 to 1. Curves of the core were compared to the standard curves,
and truncated Weibull parameters could be determined according an inverse
algorithm. Finally, aspect ratio and average length of throats were adjusted to simultaneously fit the
porosity and the capillary pressure curves and the whole network was
established. The predicted relative permeability curves
were in good agreement with the experimental data of cores, indicating the
validity of the algorithm.