Density function evaluation from borehole gravity meter data – regularized spectral domain deconvolution approach

References

1. AnderM.E.2006. Gravity techniques for drilling and logging. U.S. Patent 7 069 780 B2.
2. AnderM.E. and BiegertE.2006. A new approach to subsurface gravity. 76th SEG annual international meeting, Expanded Abstracts, 904–908.
3. AnderM.E. and ChapinD.A.1997. Borehole gravimetry: A review. 67th SEG annual international meeting, Expanded Abstracts, 531–534.
4. AsterR.C., BorchersB. and ThurberC.H.2005. Parameter Estimation and Inverse Problems. Elsevier Academic Press.
   [Google Scholar]
5. CressieN.A.C.1991. Statistics for Spatial Data. New York, NY: John Wiley and Sons, Inc.
   [Google Scholar]
6. A.Jeffrey
   GradshteynI.S. and RyzhikI.M.2007. Tables of Integrals, Series and Products, 7th edn (eds A.Jeffrey and D.Zwillinger ). Academic Press.
   [Google Scholar]
7. HealeyD.L., ClutsomF.G. and GloverD.A.1986. Borehole gravity meter survey in drill hole USW G‐4, Yucca Mountain area, NYE County, Nevada. United States Department of the Interior Geological Survey, Denver, CO, accessed March 2011 at http://www.iaea.org/inis/collection/NCLCollectionStore/_Public/18/053/18053012.pdf.
   [Google Scholar]
8. KarcolR.2011. Regularized spectral domain deconvolution of density functions in gravimetry. PhD thesis, Comenius University, Slovakia.
   [Google Scholar]
9. LaFehrT.R.1983. Rock density from borehole gravity surveys. Geophysics48, 341–356.
   [Google Scholar]
10. LaFehrT.R. and NabighianM.N.2012. Fundamentals of gravity exploration. Geophysical Monograph Series17. Tulsa, OK: Society of Exploration Geophysicists.
    [Google Scholar]
11. LiX. and ChouteauM.1999. On density derived from borehole gravity. The Log Analyst40(1), 33–37.
    [Google Scholar]
12. MacQueenJ.D.1989. Inversion of borehole gravimeter data. 59th SEG annual international meeting, Expanded Abstracts, 57–58.
13. MacQueenJ.D.2007. High‐resolution density from borehole gravity data. 77th SEG annual international meeting, Expanded Abstracts, 741–744.
14. MacQueenJ.D. and MannE.2007. Borehole Gravity Meter Surveys at the Waste Treatment Plant, Hanford, Washington. PNNL‐16490, Pacific Northwest National Laboratory, Richland, WA, accessed October 2011 at www.pnl.gov/main/publications/external/technical_reports/PNNL-16490.pdf.
    [Google Scholar]
15. PaštekaR., KarcolR., KušnirákD. and MojzešA.2012. REGCONT: A Matlab based program for stable downward continuation of geophysical potential fields using Tikhonov regularization. Computers and Geosciences49, 278–289.
    [Google Scholar]
16. PaštekaR., RichterF.P., KarcolR., BrazdaK. and HajachM.2009. Regularized derivatives of potential fields and their role in semi‐automated interpretation methods. Geophysical Prospecting57, 507–516.
    [Google Scholar]
17. Scintrex
    Scintrex2013. Borehole gravity logging services. Company presentation manual, accessed February 2013 at http://scintrexltd.com/dat/content/file/Gravilog%20New%20Brochure.pdf.
18. TikhonovA.N. and GlaskoV.B.1965. Application of the regularization method to nonlinear problems. USSR Computational Mathematics and Mathematical Physics5(3), 463–473 (in Russian).
    [Google Scholar]
19. TikhonovA.N., GlaskoV.B., LitvinenkoO.K. and MelichovV.P.1968. Analytic continuation of a potential in the direction of disturbing masses by the regularization method. Izvestiya, Physics of the Solid Earth12, 738–747 (English translation, translated by F. Goodspeed).
    [Google Scholar]
20. TroutmanJ.L.1983. Variational Calculus With Elementary Convexity. Springer.
    [Google Scholar]