Spatial-Temporal Separation Based on the Dynamic Recurrent Wavelet Neural Network Modelling for ASP Flooding
American Journal of Applied Mathematics
Volume 5, Issue 6, December 2017, Pages: 154-167
Received: Dec. 13, 2017; Accepted: Dec. 27, 2017; Published: Jan. 10, 2018
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Authors
Shurong Li, Automation School, Beijing University of Posts and Telecommunications, Beijing, China
Yulei Ge, College of Information and Control Engineering, China University of Petroleum (East China), Qingdao, China
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Abstract
In this paper, a three-dimensional spatial-temporal decomposition modelling method is proposed to build the alkali-surfactant-polymer (ASP) flooding model, in which a new dynamic recurrent wavelet neural network (DRWNN) is presented to identify the temporal coefficients. At first, the detailed mathematical model of ASP flooding is described which is a complex distributed parameter system. Then a three-dimensional spatial-temporal modelling method is inferred based on Karhunen-Loeve (K-L) decomposition to decompose the water saturation of reservoir into a series of spatial basis functions and corresponding temporal coefficients. Furthermore, the recurrent wavelet neural network is used to acquire the identification model, in which the injection concentrations of ASP flooding and temporal coefficients are taken as the input and output information. In order to improve the capability of dynamic modelling, DRWNN is proposed through adding feedback layers and setting the different weights with time to achieve dynamic memory of the past information. Considering the gradient descent method for the neural networks training easily leads to local minimum and slow convergence speed, the spectral conjugate gradient method is introduced to optimize the weights of DRWNN. At last, DRWNN is used to build the relation between the moisture content of production wells and the water saturation of the corresponding grids. Thus, the final approximate model of ASP flooding is finished. The accuracy is proved by model with four injection wells and nine production wells through data from the mechanism model.
Keywords
ASP Flooding, Karhunen-Loeve Decomposition, Dynamic Recurrent Wavelet Neural Network, Spectral Conjugate Gradient Method
To cite this article
Shurong Li, Yulei Ge, Spatial-Temporal Separation Based on the Dynamic Recurrent Wavelet Neural Network Modelling for ASP Flooding, American Journal of Applied Mathematics. Vol. 5, No. 6, 2017, pp. 154-167. doi: 10.11648/j.ajam.20170506.12
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Copyright © 2017 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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