Fast Parameterized Inversion of Multicomponent Induction Logging Data in Horizontally Layered TI Formation
We advance a fast parameterized inversion algorithm to simultaneously reconstruct the horizontal and vertical conductivities,the interface depth each bed from the multicomponent induction logging(MCIL)data in horizontal layered TI formations.Applying transmission line method(TLM)gives the analytic solution of tensor Greens function in the frequency-wavenumber domain.The perturbation equations are derived about the changes in responses of MCIL caused by perturbation in model parameters.The computations of the Sommerfeld integrals are solved by the cubic spline interpolation and the recursive formulae of Bessel function.As a result,it is set up the fast computation of the MCIL responses and their Fréchet derivative with respective to all model vectors.Finally,we iteratively reconstruct all the model parameters to realized the best fit of the input logging data with the modeling data by the normalization of Fréchet derivative and singular-value-decomposition(SVD).Theoretical inversion results validate the inversion method and its anti-noise ability.
Shouwen Yang Hongnian Wang
School of Physics,Jilin University,Changchun 130012,China
国际会议
Progress in Electromagnetics Research Symposium 2011(2011年电磁学研究新进展学术研讨会)
苏州
英文
1133-1138
2011-09-01（万方平台首次上网日期，不代表论文的发表时间）