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Electrical capacitance tomography technique (ECT) developed during the mid-late 1980's is a process tomography based on capacitance sensing principle. The forward problem is solved using the three-dimension finite element method which fitted the ECT physical model in this paper, and the inverse problem is analyzed using a new kind of machine learning method, support vector machine (SVM), based on statistical learning theory. The author designs a three-dimension (3D) image reconstruction algorithm for two-phase flow. The simulation results indicate that the algorithm has the high space resolution and generalization ability based on three-dimension finite element and combining SVM.