Non-linear feature selection-based hybrid computational intelligence models for improved natural gas reservoir characterization

Abstract With the recent state-of-the-art sensor-based data acquisition tools in the oil and gas industry, datasets sometimes come in very high dimensions. There is the need to extract the most relevant features out of these datasets to keep predictive models simple, accurate and free of pollution with irrelevant information. Multi-variate regression methods and evolutionary algorithms have been used to achieve this feat. However, the former could not handle the non-linearity in most problems that involve natural phenomena such as oil and gas reservoir characterization. The latter have been shown to introduce computational and time complexities, and are sometimes not very efficient. Accurate predictions of oil and gas reservoir properties are important for more efficient exploration and production of fossil energy resources. This paper proposes three non-linear feature selection based hybrid models in the prediction of porosity and permeability of two geographically and lithologically differentiated heterogeneous reservoirs. The hybrid models utilized the non-linear feature selection capabilities of Functional Networks (FN), Decision Trees (DT) and Fuzzy Ranking (FR) algorithms with the excellent functional approximation capability of Support Vector Machines (SVM). The results of the proposed models were then compared with a previously implemented FN-based Type-2 Fuzzy Logic hybrid model and the respective standalone components of the hybrid models. The comparative results provided more understanding of the architecture of these feature selection algorithms and further confirmed the importance of the feature selection process in oil and gas reservoir characterization. In the overall, the FN–SVM hybrid model showed superior performance in terms of correlation coefficient, root mean square error and execution time.

[1]  Manfred G. Prammer,et al.  Applying NMR Total and Effective Porosity to Formation Evaluation , 1997 .

[2]  Chao Gao,et al.  Attribute Reduction Based on the Fuzzy Information Filter Operators , 2008, ICIC.

[3]  A. Timur,et al.  An Investigation Of Permeability, Porosity, & Residual Water Saturation Relationships For Sandstone Reservoirs , 1968 .

[4]  Yifei Wang,et al.  A normal least squares support vector machine (NLS-SVM) and its learning algorithm , 2009, Neurocomputing.

[5]  Tarek Helmy,et al.  Hybrid computational models for the characterization of oil and gas reservoirs , 2010, Expert Syst. Appl..

[6]  David H. Wolpert,et al.  No free lunch theorems for optimization , 1997, IEEE Trans. Evol. Comput..

[7]  Wei-Yin Loh,et al.  Classification and regression trees , 2011, WIREs Data Mining Knowl. Discov..

[8]  Thomas Graf,et al.  Candidate Selection Using Stochastic Reasoning Driven by Surrogate Reservoir Models , 2011 .

[9]  Emad A. El-Sebakhy Functional networks as a novel data mining paradigm in forecasting software development efforts , 2011, Expert Syst. Appl..

[10]  Ursula Iturrarán-Viveros,et al.  The Gamma Test Applied to Select Seismic Attributes to Estimate Effective Porosity , 2005 .

[11]  Gerard V. Trunk,et al.  A Problem of Dimensionality: A Simple Example , 1979, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[12]  Zhang Chang-kai,et al.  Seismic Attributes Selection Based On SVM For Hydrocarbon Reservoir Prediction , 2010 .

[13]  Max Bramer,et al.  Using J-pruning to reduce overfitting in classification trees , 2002, Knowl. Based Syst..

[14]  Michael Andrew Christie,et al.  Reservoir Modelling with Feature Selection: Kernel Learning Approach , 2011, ANSS 2011.

[15]  Enrique F. Castillo,et al.  Some Applications of Functional Networks in Statistics and Engineering , 2001, Technometrics.

[16]  Djebbar Tiab,et al.  Porosity and Permeability , 2004 .

[17]  Ali Selamat,et al.  Predicting correlations properties of crude oil systems using type-2 fuzzy logic systems , 2011, Expert Syst. Appl..

[18]  Nello Cristianini,et al.  Kernel Methods for Pattern Analysis , 2003, ICTAI.

[19]  Kevin P. Dorrington,et al.  A genetic algorithm/neural network approach to seismic attribute selection for well log prediction , 2002 .

[20]  Ramón López de Mántaras,et al.  A distance-based attribute selection measure for decision tree induction , 1991, Machine Learning.

[21]  Djebbar Tiab,et al.  Enhanced Reservoir Description: Using Core and Log Data to Identify Hydraulic (Flow) Units and Predict Permeability in Uncored Intervals/Wells , 1993 .

[22]  David G. Stork,et al.  Pattern Classification , 1973 .

[23]  A. R. Gregory,et al.  ELASTIC WAVE VELOCITIES IN HETEROGENEOUS AND POROUS MEDIA , 1956 .

[24]  Wei Zhong Liu,et al.  Bias in information-based measures in decision tree induction , 1994, Machine Learning.

[25]  Allan P. White,et al.  Technical Note: Bias in Information-Based Measures in Decision Tree Induction , 1994, Machine Learning.

[26]  I. D. Gates,et al.  Support vector regression to predict porosity and permeability: Effect of sample size , 2012, Comput. Geosci..

[27]  Jane Labadin,et al.  Prediction of Petroleum Reservoir Properties using Different Versions of Adaptive Neuro-Fuzzy Inference System Hybrid Models , 2013, CISIM 2013.

[28]  Abdulazeez Abdulraheem,et al.  A Functional Networks-Type-2 Fuzzy Logic Hybrid Model for the Prediction of Porosity and Permeability of Oil and Gas Reservoirs , 2010, 2010 Second International Conference on Computational Intelligence, Modelling and Simulation.

[29]  Pedro Larrañaga,et al.  A review of feature selection techniques in bioinformatics , 2007, Bioinform..

[30]  J. W. Amyx,et al.  Petroleum reservoir engineering : physical properties , 1960 .

[31]  Heum Park,et al.  Complete Gini-Index Text (GIT) feature-selection algorithm for text classification , 2010, The 2nd International Conference on Software Engineering and Data Mining.

[32]  Enrique Castillo,et al.  Functional Networks , 1998, Neural Processing Letters.

[33]  J. A. Ajienka,et al.  Well and Reservoir Parameters Estimation (K and Skin) Using the Statistical Diagnostic Approach Part II , 2010 .

[34]  Abdulazeez Abdulraheem,et al.  Fuzzy logic-driven and SVM-driven hybrid computational intelligence models applied to oil and gas reservoir characterization , 2011 .

[35]  Ian D. Gates,et al.  Innovative Data-Driven Permeability Prediction in a Heterogeneous Reservoir , 2009 .

[36]  Ali Selamat,et al.  Modeling the permeability of carbonate reservoir using type-2 fuzzy logic systems , 2011, Comput. Ind..

[37]  Enrique F. Castillo,et al.  Optimal Transformations in Multiple Linear Regression Using Functional Networks , 2001, IWANN.

[38]  Peter Grünwald,et al.  A tutorial introduction to the minimum description length principle , 2004, ArXiv.

[39]  Gábor Horváth,et al.  A Robust LS-SVM Regression , 2007, IEC.

[40]  Pasi Luukka,et al.  Feature selection using fuzzy entropy measures with similarity classifier , 2011, Expert Syst. Appl..

[41]  Mitchell E. Sprowso,et al.  Decision Tree Analysis Of Exploration Activities , 1979 .

[42]  Walter Rose,et al.  Some Theoretical Considerations Related To The Quantitative Evaluation Of The Physical Characteristics Of Reservoir Rock From Electrical Log Data , 1950 .