논문

총 게시글 43건

Bae, Jae-Hyeong; Park, Won-Gil | Journal of the Chungcheong Mathematical Society (충청수학회지) 20/2 (2007)

Won-Gil Park and Jae-Hyeong Bae | Journal of applied mathematics & informatics 24/1 (2007)

Jung Pil Park,Young Hyun Cho,Jea Man Ahn,Jea Man Ahn,Young Hyun Cho | Journal of Algebra 318/2 (2007)

Sung-Dae Yang,Max Gunzburger,Wenxiang Zhu | Discrete and Continuous Dynamical Systems - Series B 8/3 (2007)

Yang,Sung-Dae | International Journal of Numerical Analysis 4/3 (2007)

Jung Pil Park,Hyang Mi Cho,Young Hyun Cho | Communications in Algebra 35/7 (2007)

Y.-S. CHUNG and S.-Y. CHUNG,J.-H. KIM | Publ. Res. Inst. Math. 43/3 (2007)

Taeyoung Ha,Changsoo Shin | Journal of Computational Physics 225 (2007)

초록

We propose a new algorithm for two-dimensional magnetotelluric (MT) inversion. Our algorithm is an MT inversion based on the steepest descent method, borrowed from the backpropagation technique of seismic inversion or reverse time migration, introduced in the middle 1980s by Lailly and Tarantola. The steepest descent direction can be calculated efficiently by using the symmetry of numerical Green’s function derived from a mixed finite element method proposed by Nédélec for Maxwell’s equation, without calculating the Jacobian matrix explicitly. We construct three different objective functions by taking the logarithm of the complex apparent resistivity as introduced in the recent waveform inversion algorithm by Shin and Min. These objective functions can be naturally separated into amplitude inversion, phase inversion and simultaneous inversion. We demonstrate our algorithm by showing three inversion results for synthetic data.

초록

We propose a new algorithm for two-dimensional magnetotelluric (MT) inversion. Our algorithm is an MT inversion based on the steepest descent method, borrowed from the backpropagation technique of seismic inversion or reverse time migration, introduced in the middle 1980s by Lailly and Tarantola. The steepest descent direction can be calculated efficiently by using the symmetry of numerical Green’s function derived from a mixed finite element method proposed by Nédélec for Maxwell’s equation, without calculating the Jacobian matrix explicitly. We construct three different objective functions by taking the logarithm of the complex apparent resistivity as introduced in the recent waveform inversion algorithm by Shin and Min. These objective functions can be naturally separated into amplitude inversion, phase inversion and simultaneous inversion. We demonstrate our algorithm by showing three inversion results for synthetic data.