Integration of Niching Technique and Surrogate-assisted Method with Particle Swarm Optimization for History Matching

Xiaopeng Ma, Kai Zhang
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Abstract

History matching can provide reliable numerical models for reservoir management and development by assimilating the historical production data into prior geological realizations. It is usually a typical inverse problem with multiple solutions. However, efficiently obtaining multiple posterior solutions is still challenging for most existing history matching algorithms. In this paper, we present a novel algorithm to tackle this problem, which integrates the niching technique and surrogate-assisted method into the particle swarm optimization (PSO), in which, the niching technique can improve the exploration ability and maintain the diversity of the population, while the surrogate-assisted method is focused on accelerating the convergence. Additionally, the convolutional variational autoencoder (CVAE), a deep learning model, is adopted to map the high-dimensional spatially uncertain parameters such as permeability and porosity to low-dimensional latent variables. Experimental results show that the proposed algorithm has good convergence and sampling ability for history matching problems.
结合小生境技术和代理辅助方法的粒子群历史匹配算法
历史拟合通过将历史生产数据同化为先验地质认识,为油藏管理和开发提供了可靠的数值模型。它通常是一个典型的多解反问题。然而,对于大多数现有的历史匹配算法来说,有效地获得多个后验解仍然是一个挑战。本文提出了一种新的粒子群优化算法,该算法将小生境技术和代理辅助方法结合到粒子群优化算法中,其中小生境技术可以提高种群的探索能力并保持种群的多样性,而代理辅助方法则侧重于加快种群的收敛速度。此外,采用深度学习模型卷积变分自编码器(CVAE)将渗透率、孔隙度等高维空间不确定参数映射为低维潜在变量。实验结果表明,该算法对历史匹配问题具有良好的收敛性和采样能力。
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