Application of Fuzzy Decision Tree Analysis for Prediction Asphaltene Precipitation Due Natural Depletion; Case Study

The purpose of this paper is to illustrate how Fuzzy Decision Tree (FDT), which is an automatic method of generating fuzzy rules, can predict the asphaltene precipitation due natural depletion of an under saturated Iranian light petroleum reservoir. Because of the special thermo dynamical conditions of the supposed reservoir, two very important variables consist of Temperature and Pressure, were selected as input factors. In order to develop the model of FDT, firstly, 275 series of data were gathered and divided to two main parts which 201 of them were utilized to build the model and the rest of them to test it. As the FDT method is strongly based on applying widely and effectively the concept of ambiguity and furthermore, to do this project more accurately and less dependent on experts' knowledge, it was decided to gain from piecewise linear membership functions (MFs) whose parameters have automatically been dedicated through calculating a very special method of possibility density function (pdf). When the process of developing the FDT was finished, there were five rules available to measure the rate of compatibility and flexibility of the model by applying the rules on testing set. The model result, 0.66 of R-square for testing set, shows that the FDT yields an acceptable result compared to other methods either practical or theoretical. In conclusion, according to the calculated result, it is possible to exploit this method for asphaltene precipitation prediction field wide.

[1]  Maurizio Galoppini,et al.  Asphaltene Deposition Monitoring and Removal Treatments: An Experience in Ultra Deep Wells , 1994 .

[2]  Xizhao Wang,et al.  On the optimization of fuzzy decision trees , 2000, Fuzzy Sets Syst..

[3]  Swarup Medasani,et al.  An overview of membership function generation techniques for pattern recognition , 1998, Int. J. Approx. Reason..

[4]  Malcolm James Beynon,et al.  The application of fuzzy decision tree analysis in an exposition of the antecedents of audit fees , 2004 .

[5]  L. Zadeh Fuzzy sets as a basis for a theory of possibility , 1999 .

[6]  Adnan Sözen,et al.  Investigation of thermodynamic properties of refrigerant/absorbent couples using artificial neural networks , 2004 .

[7]  J. Ross Quinlan,et al.  Induction of Decision Trees , 1986, Machine Learning.

[8]  G. Klir,et al.  MEASURES OF UNCERTAINTY AND INFORMATION BASED ON POSSIBILITY DISTRIBUTIONS , 1982 .

[9]  Shahab D. Mohaghegh,et al.  Virtual-Intelligence Applications in Petroleum Engineering: Part 3—Fuzzy Logic , 2000 .

[10]  R. Tapia,et al.  Nonparametric Function Estimation, Modeling, and Simulation , 1987 .

[11]  Mohammad Roostaeian,et al.  A State-of-the-Art Permeability Modeling Using Fuzzy Logic in a Heterogeneous Carbonate: An Iranian Carbonate Reservoir Case Study , 2008 .

[12]  Gholamreza Zahedi,et al.  Prediction of asphaltene precipitation in crude oil , 2009 .

[13]  E. Parzen On Estimation of a Probability Density Function and Mode , 1962 .

[14]  J. Speight The Chemistry and Technology of Petroleum , 1980 .

[15]  Adnan Sözen,et al.  Formulation based on artificial neural network of thermodynamic properties of ozone friendly refrigerant/absorbent couples , 2005 .

[16]  Bart Kosko,et al.  Fuzzy entropy and conditioning , 1986, Inf. Sci..

[17]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[18]  M. Shaw,et al.  Induction of fuzzy decision trees , 1995 .

[19]  James G. Speight,et al.  Thermodynamic models for asphaltene solubility and precipitation , 1999 .