Data-driven forecasting of naturally fractured reservoirs based on nonlinear autoregressive neural networks with exogenous input

Abstract In this paper we discuss the results of the modeling of naturally fractured reservoir based on the application of the nonlinear autoregressive neural network with exogenous inputs (NARX). We show that the NARX network can be efficiently applied to multivariate multi-step ahead prediction of reservoir dynamics. Predictability of the time series is studied using the Hurst exponent. We show that preliminary clustering of the time series can increase the precision of the forecasting. We evaluate the proposed approach using a real-world data set describing the dynamic behavior of a naturally fractured oilfield asset located in the coastal swamps of the Gulf of Mexico. This paper is not only intended for proposing a new model but to study carefully and thoroughly several aspects of the application of ANN models to reservoir modeling and to discuss conclusions that could be of the interest for petroleum engineers.

[1]  Peter Tiño,et al.  Learning long-term dependencies in NARX recurrent neural networks , 1996, IEEE Trans. Neural Networks.

[2]  Morteza Ahmadi,et al.  Design of neural networks using genetic algorithm for the permeability estimation of the reservoir , 2007 .

[3]  Gwilym M. Jenkins,et al.  Time series analysis, forecasting and control , 1972 .

[4]  Mehdi Khashei,et al.  An artificial neural network (p, d, q) model for timeseries forecasting , 2010, Expert Syst. Appl..

[5]  Ildar Batyrshin,et al.  A method for aquifer identification in petroleum reservoirs: A case study of Puerto Ceiba oilfield , 2012 .

[6]  John Yen,et al.  Neural-Network Approach To Predict Well Performance Using Available Field Data , 2001 .

[7]  Anangela Garcia,et al.  Forecasting US Natural Gas Production into year 2020: a comparative study. , 2004 .

[8]  Mansour Karkoub,et al.  Universal neural-network-based model for estimating the PVT properties of crude oil systems , 1999 .

[9]  Leonid Sheremetov,et al.  Time Series Forecasting: Applications to the Upstream Oil and Gas Supply Chain , 2013, MIM.

[10]  Chris Chatfield,et al.  Time series forecasting with neural networks: a comparative study using the air line data , 2008 .

[11]  Turgay Ertekin,et al.  Utilization of artificial neural networks in the optimization of history matching , 2007 .

[12]  Robert Balch,et al.  Using Neural Networks To Estimate Monthly Production: A Case Study for the Devonian Carbonates, Southeast New Mexico , 2005 .

[13]  Aref Lashin,et al.  Reservoir parameters determination using artificial neural networks: Ras Fanar field, Gulf of Suez, Egypt , 2012, Arabian Journal of Geosciences.

[14]  René Bañares-Alcántara,et al.  Intelligent computing in petroleum engineering , 2005 .

[15]  Simon Haykin,et al.  Neural Networks: A Comprehensive Foundation , 1998 .

[16]  Rob J Hyndman,et al.  25 years of time series forecasting , 2006 .

[17]  Kamel Baddari Acoustic impedance inversion by feedback artificial neural network (Article) , 2010 .

[18]  M. A. Kaboudan,et al.  A Measure of Time Series’ Predictability Using Genetic Programming , 2004 .

[19]  Meng Joo Er,et al.  NARMAX time series model prediction: feedforward and recurrent fuzzy neural network approaches , 2005, Fuzzy Sets Syst..

[20]  Ildar Z. Batyrshin,et al.  Perception-based approach to time series data mining , 2008, Appl. Soft Comput..

[21]  Madan M. Gupta,et al.  Production Forecasting of Petroleum Reservoir applying Higher-Order Neural Networks (HONN) with Limited Reservoir Data , 2013 .

[22]  Shahab D. Mohaghegh,et al.  State of the Art of Artificial Intelligence and Predictive Analytics in the E&P Industry: A Technology Survey , 2014 .

[23]  Shahab D. Mohaghegh,et al.  Reservoir simulation and modeling based on artificial intelligence and data mining (AI&DM) , 2011 .

[24]  Carme Hervada-Sala,et al.  A program to perform Ward's clustering method on several regionalized variables , 2004, Comput. Geosci..

[25]  H. Charles Romesburg,et al.  Cluster analysis for researchers , 1984 .

[26]  Shahab D. Mohaghegh,et al.  Recent Developments in Application of Artificial Intelligence in Petroleum Engineering , 2005 .

[27]  Robert Balch,et al.  How Artificial Intelligence Methods Can Forecast Oil Production , 2002 .

[28]  Siddhartha Bhattacharyya,et al.  Adequacy of training data for evolutionary mining of trading rules , 2004, Decis. Support Syst..

[29]  H. Kantz,et al.  Nonlinear time series analysis , 1997 .

[30]  Guilherme De A. Barreto,et al.  Long-term time series prediction with the NARX network: An empirical evaluation , 2008, Neurocomputing.

[31]  Nelson F. F. Ebecken,et al.  Predictive Data-Mining Technologies for Oil-Production Prediction in Petroleum Reservoir , 2007 .

[32]  Gonzalo Jesus Olivares Velazquez,et al.  Production Monitoring Using Artificial Intelligence , 2012 .

[33]  Eugen Diaconescu,et al.  The use of NARX neural networks to predict chaotic time series , 2008 .