Enhancing the resolving power of least‐squares inversion with active constraint balancing
By Myeong-Jong Yi, Jung Ho Kim, Seung-Hwan Chung. 2003
213 citations recorded by the source corpus.
Most geophysical inverse problems are solved using least‐squares inversion schemes with damping or smoothness constraints to improve stability and convergence rate. Since the Lagrangian multiplier controls resolution and stability of the inverse problem, we always want to use the optimum multiplier, which is not easy to get and is usually obtained by experience or a time‐consuming optimization process.We present a new regularization approach, in which the Lagrangian multiplier is set as a spatial variable at each parameterized block and automatically determined via the parameter resolution matrix and spread function analysis. For highly resolvable parameters, a small value of the Lagrangian multiplier is assigned, and vice versa. This approach, named “active constraint balancing” (ACB), tries to balance the constraints of the least‐squares inversion according to sensitivity for a given problem so that it enhances the resolution as well as the stability of the inversion process. We demonstrate the performa...
Subfields: Geophysics, Ocean Engineering
View Paper: https://www.semanticscholar.org/paper/c02cf985d61683ca312eb63e46365418508849bd
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In Geophysics
- André Revil
- Thomas Günther
- Carsten Rücker
- Marios Karaoulis
- A. Kemna
- Douglas D. Werkema Jr.
- W. F. Woodruff
- B. Minsley
In Ocean Engineering
- André Revil
- Thomas Günther
- Carsten Rücker
- A. Kemna
- Marios Karaoulis
- Klaus Spitzer
- B. Minsley
- P. Glover
Citations in the corpus
- Time-lapse three-dimensional inversion of complex conductivity data using an active time constrained (ATC) approach (2011, methodology): “In the forward modelling of the induced polarization problem, the electric potential can be expressed as a complex number (e.g. Kemna 2000)”
- Three‐dimensional modelling and inversion of dc resistivity data incorporating topography – II. Inversion (2006, background): “A further enhancement may be obtained by active constraint balancing ( Yi et al. 2003 ).”