Multichannel deconvolution, MCD, in geophysics and helioseismology

Jacobsen, Bo Holm; Møller, Ingelise; Jensen, J. M.; Effersø, Flemming

doi:10.1016/s1464-1895(99)00021-6

Cited by 21 publications

(20 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The inversions we have carried out are standard MCD inversions (Jacobsen et al, 1999) with a 1D RLS depth inversion at each horizontal wavevector. Each 1D RLS inversion is regularized by the depth integral of the square of the solution m. The regularization parameter [λ] is a function of the horizontal wavenumber and is given by λ 2 = λ 2 1 + k 2 λ 2 2 (Couvidat The depth dependence of the kernel is roughly ρ 0 ∇ · ξ 2 where ξ is the displacement eigenfunction of the n = 3 mode at the mean frequency of the power after the band-pass frequency filter has been applied.…”

Section: Inversion Resultsmentioning

confidence: 99%

“Hare and Hounds” Tests of Helioseismic Holography

et al. 2011

View full text Add to dashboard Cite

show abstract

Section: Inversion Resultsmentioning

confidence: 99%

“Hare and Hounds” Tests of Helioseismic Holography

et al. 2011

View full text Add to dashboard Cite

show abstract

“…In conclusion, in this article we have extended the work for RLS inversions (Jacobsen et al, 1999) to a SOLA inversion. A toy example inversion problem was solved with this new approach to compare and contrast to the more standard real-space SOLA method.…”

Section: Discussionmentioning

confidence: 84%

“…The solutionw α a (k; z 0 ) is constructed for each k separately. By analogy to the RLS multichannel deconvolution (Jacobsen et al, 1999), we call the current approach multichannel SOLA or MCD SOLA.…”

Section: Solution In Fourier Spacementioning

confidence: 99%

Multichannel Three-Dimensional SOLA Inversion for Local Helioseismology

et al. 2011

View full text Add to dashboard Cite

Inversions for local helioseismology are an important and necessary step for obtaining three-dimensional maps of various physical quantities in the solar interior. Frequently, the full inverse problems that one would like to solve prove intractable because of computational constraints. Due to the enormous seismic data sets that already exist and those forthcoming, this is a problem that needs to be addressed. To this end, we present a very efficient linear inversion algorithm for local helioseismology. It is based on a subtractive optimally localized averaging (SOLA) scheme in the Fourier domain, utilizing the horizontal-translation invariance of the sensitivity kernels. In Fourier space the problem de- couples into many small problems, one for each horizontal wave vector. This multichannel SOLA method is demonstrated for an example problem in time-distance helioseismology that is small enough to be solved both in real and Fourier space. We find that both approaches are successful in solving the inverse problem. However, the multichannel SOLA algorithm is much faster and can easily be parallelized.

show abstract

“…We employ the MCD inversion method (Jacobsen et al, 1999) with a horizontal regularization . For the wave-speed perturbation inversions, the linearized equation relating the measured mean travel times and the subsurface wavespeed perturbations are:…”

Section: Inversionsmentioning

confidence: 99%

Time–Distance Helioseismology Data-Analysis Pipeline for Helioseismic and Magnetic Imager Onboard Solar Dynamics Observatory (SDO/HMI) and Its Initial Results

et al. 2011

View full text Add to dashboard Cite

The Helioseismic and Magnetic Imager onboard the Solar Dynamics Observatory (SDO/HMI) provides continuous full-disk observations of solar oscillations. We develop a data-analysis pipeline based on the time-distance helioseismology method to measure acoustic travel times using HMI Doppler-shift observations, and infer solar interior properties by inverting these measurements. The pipeline is used for routine production of near-real-time full-disk maps of subsurface wave-speed perturbations and horizontal flow velocities for depths ranging from 0 to 20 Mm, every eight hours. In addition, Carrington synoptic maps for the subsurface properties are made from these full-disk maps. The pipeline can also be used for selected target areas and time periods. We explain details of the pipeline organization and procedures, including processing of the HMI Doppler observations, measurements of the travel times, inversions, and constructions of the full-disk and synoptic maps. Some initial results from the pipeline, including full-disk flow maps, sunspot subsurface flow fields, and the interior rotation and meridional flow speeds, are presented.

show abstract

Multichannel deconvolution, MCD, in geophysics and helioseismology

Cited by 21 publications

References 18 publications

“Hare and Hounds” Tests of Helioseismic Holography

“Hare and Hounds” Tests of Helioseismic Holography

Multichannel Three-Dimensional SOLA Inversion for Local Helioseismology

Time–Distance Helioseismology Data-Analysis Pipeline for Helioseismic and Magnetic Imager Onboard Solar Dynamics Observatory (SDO/HMI) and Its Initial Results

Contact Info

Product

Resources

About