Time­Varying Interfacial Boundary Estimation Using Hybrid Fourier Series in Electrical Resistance Tomography

Bong Seok Kim1, Chan Yong Kim2, Anil Kumar Khambampati3, Ahmar Rashid3, Dong Liu3, Sin Kim1,4 and Kyung Youn Kim3

1. Applied Radiological Science Research Institute, Jeju National University, Jeju 690­756, South Korea

2. Department of Electronic Engineering, Kyungpook National University, Taegu 702­701, South Kore
   3 Department of Electronic Engineering, Jeju National University, Jeju 690­756, South Korea, kyungyk@jejunu.ac.kr

   4 Department of Nuclear and Energy Engineering, Jeju National University, Jeju 690­756, South Korea

ABSTRACT

Electrical resistance tomography (ERT) is found to be a hallmark in process tomography applications due to its non­intrusive nature and high temporal resolution characteristics. One such application is to measure the interfacial boundary in flows of two immiscible fluids. This paper considers the problem of estimating the interfacial surface between two immiscible liquids in the pipeline based on the ERT data. The interfacial boundary is parameterized with coefficients of the hybrid­type Fourier series which are estimated from the relationship between the currents and voltages on the electrodes. It is assumed that the conductivity values of two immiscible liquids are known in advance. It is also assumed that the interfacial boundary moves during the time taken to acquire a full set of measurement data. The performance of the proposed approach is evaluated through the numerical experiments. The results demonstrate that the proposed method performs better than the conventional Fourier series in estimating the interfacial boundary in flows of two immiscible liquids.

Keywords electrical resistance tomography, extended Kalman filter, interfacial boundary estimation, hybrid Fourier series