Modeling of Relative Permeability Hysteresis Using Limited Experimental Data and Physically Constrained ANN

IF 2.7 3区 工程技术 Q3 ENGINEERING, CHEMICAL
Sanchay Mukherjee, Russell T. Johns
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引用次数: 0

Abstract

We developed a relative permeability (kr) model using an artificial neural network (ANN) that can simultaneously fit one or more drainage and imbibition experimental scans while also predicting relative permeability and residual saturations for other scans. The ANN model uses saturation and phase connectivity and is constrained to giving continuous and physical values for any hysteresis path. The new model can estimate continuous kr values even when saturations move outside residual saturation limits owing to vaporization or solubilization. To demonstrate the approach, we fit one measured drainage and imbibition kr curve from gas–water experimental data to develop contours of kr in saturation-connectivity space. Relative permeability is then predicted as paths, described by simple functions, are traversed. The results show that residual saturations vary automatically as small kr values are encountered and increase with increasing initial saturation without the use of Land’s model. The ANN model simultaneously fits all experimental data, unlike current empirical Corey or hysteresis models. Once tuned, the ANN model accurately predicts other measured hysteresis scans not used in tuning.

基于有限实验数据和物理约束神经网络的相对磁导率迟滞建模
我们使用人工神经网络(ANN)开发了一个相对渗透率(kr)模型,该模型可以同时拟合一个或多个排水和渗吸实验扫描,同时还可以预测其他扫描的相对渗透率和剩余饱和度。人工神经网络模型使用饱和和相位连通性,并限制为任何迟滞路径提供连续和物理值。新模型可以估计连续的kr值,即使当饱和度超出剩余饱和极限,由于汽化或溶解。为了证明这一方法,我们拟合了一条实测的排水和吸积kr曲线,从气水实验数据中得到了饱和度-连通性空间中kr的轮廓。然后通过简单函数描述的路径来预测相对渗透率。结果表明,当遇到较小的kr值时,剩余饱和度会自动变化,并且在不使用Land模型的情况下,剩余饱和度会随着初始饱和度的增加而增加。与目前的经验Corey模型或滞后模型不同,人工神经网络模型同时拟合所有实验数据。一旦调整,人工神经网络模型准确地预测其他测量的迟滞扫描不用于调整。
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来源期刊
Transport in Porous Media
Transport in Porous Media 工程技术-工程:化工
CiteScore
5.30
自引率
7.40%
发文量
155
审稿时长
4.2 months
期刊介绍: -Publishes original research on physical, chemical, and biological aspects of transport in porous media- Papers on porous media research may originate in various areas of physics, chemistry, biology, natural or materials science, and engineering (chemical, civil, agricultural, petroleum, environmental, electrical, and mechanical engineering)- Emphasizes theory, (numerical) modelling, laboratory work, and non-routine applications- Publishes work of a fundamental nature, of interest to a wide readership, that provides novel insight into porous media processes- Expanded in 2007 from 12 to 15 issues per year. Transport in Porous Media publishes original research on physical and chemical aspects of transport phenomena in rigid and deformable porous media. These phenomena, occurring in single and multiphase flow in porous domains, can be governed by extensive quantities such as mass of a fluid phase, mass of component of a phase, momentum, or energy. Moreover, porous medium deformations can be induced by the transport phenomena, by chemical and electro-chemical activities such as swelling, or by external loading through forces and displacements. These porous media phenomena may be studied by researchers from various areas of physics, chemistry, biology, natural or materials science, and engineering (chemical, civil, agricultural, petroleum, environmental, electrical, and mechanical engineering).
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