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An Algorithm to Determine the Truncated Weibull Parameters for Distribution of Throats and Pores in Random Network Models

An Algorithm to Determine the Truncated Weibull Parameters for Distribution of Throats and Pores in Random Network Models
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摘要 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. 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.
作者 Fei Shi Junda Wu Tao Chang Cangjun Sun Xiaozhang Wu Fei Shi;Junda Wu;Tao Chang;Cangjun Sun;Xiaozhang Wu(Bohai Oilfield Research Institute of CNOOC Ltd.-Tianjin Branch, Tianjin, China)
出处 《Journal of Geoscience and Environment Protection》 2022年第10期46-53,共8页 地球科学和环境保护期刊(英文)
关键词 Random Network Models Capillary Pressure Curve Average Dimensionless Throat Sizes Truncated Weibull Distribution Random Network Models Capillary Pressure Curve Average Dimensionless Throat Sizes Truncated Weibull Distribution
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