BFGS algorithm in electrical resistance tomography for the measurement of two-phase flow

Electrical Resistance Tomography (ERT) is one of new methods for parameters measurement of two-phase flow. The image reconstruction algorithm is one of key parts of ERT system. Based on the optimization principle of BFGS algorithm (one kind of Quasi-Newton methods), a new image reconstruction algorithm of ERT for two-phase flow is proposed. To enable the acquirement of on-line measurement of two-phase flow, BFGS algorithm is modified to reduce computation and raise image reconstruction speed. The details are that the iteration direction is changed and the Hessian matrix of the objection function is replaced by the identity matrix. Experimental results show that the modified BFGS algorithm is stable and effective to reconstruct high quality image at fast speed.