Optimum density determination for bouguer correction using statistical methods: a case study from north of Iran

  • Authors

    • Ata Eshaghzadeh Graduate student of geophysics, Institute of Geophysics, University of Tehran, Iran
    • Roghayeh sadat Kalantari Graduate student of geophysics, Institute of Geophysics, University of Tehran, Iran
    • Zohreh Moeini Hekmat Graduate student of geophysics, Islamic Azad University,Hamedan,Iran
    2015-08-03
    https://doi.org/10.14419/ijag.v3i2.4988
  • Bouguer, Correlation, Fractal, Optimum Density, Variation.
  • The main aim of initial gravity data processing is to determine the density of under-research geological structures and stratification mat rials in this case. The density is important for the calculation of the Bouguer plate and terrain corrections. To achieve the corrected gravity data with high quality and accuracy, exact estimation of the density is very significant, but representative optimum density value for an area of interest is notoriously difficult to obtain. In this paper, several statistical methods based on the correlation are proposed, such as variation and fractal for surface optimum density determination. The efficiency of the methods has been employed for a case study in north of Iran.

  • References

    1. [1] Bichara M, Lakshmanan L (1983) Determination directe des densites du sol et de remblais a partir de mesures gravimetriques. Bull. lnt. Assoc. Eng. Geol., 26, 171-173 (in French with English abstract).

      [2] Chapin A (1996) A deterministic approach toward isostatic gravity residuals—a case study from South America, Geophysics, 4, 1022–1033. http://dx.doi.org/10.1190/1.1444024.

      [3] Fukao Y, Yamamoto A, Nozaki K (1981) A method of density determination for gravity correction. l Phys. Earth, 29, 163-166.

      [4] Gibb R.A, Thomas M.D (1980) Density determinations of basic volcanic rocks of the Yellowknife supergroup by gravity measurements in mine shafts-Yellowknife, Northwest Territories. Geophysics, 45, 18-31. http://dx.doi.org/10.1190/1.1441036.

      [5] Grant F.S, Elsaharty A.F (1962) Bouguer gravity correction using a variable density. Geophysics, 5, 616-626. http://dx.doi.org/10.1190/1.1439071.

      [6] Hammer S (1950) Density determinations by underground gravity measurements. Geophysics, 15, 637-652. http://dx.doi.org/10.1190/1.1437625.

      [7] Korvin G (1992) Fractal models in the earth sciences: Elsevier Science Publishers.

      [8] LaFehr T.R (1983) Rock densities from borehole gravity surveys. Geophysics, 48, 341-356. http://dx.doi.org/10.1190/1.1441472.

      [9] Lovejoy S, Schertzer S, Ladoy P (1986) Fractal characterization of homogeneous geophysical measuring network: Nature, 319, 43-44. http://dx.doi.org/10.1038/319043a0.

      [10] [10] Mandelbrot, B. B., (1975) Stochastic models of the Earth's relief,the shape and the fractal dimension of the coastlines, and the number-area rule for islands: Proc. Nat. Acad. of Sci., 72, 3825-3828. http://dx.doi.org/10.1073/pnas.72.10.3825.

      [11] Moribayashi S (1990) A new method for variable density correction of gravity data. BUTSURI-TANSA (Geophys. Explor.), 43, 97-106 (in Japanese with English abstract).

      [12] Murata Y (1993) Estimation of optimum average surficial density from gravity data: An objective Bayesian approach. J. Geophys. Res., 98, 12097-12109. http://dx.doi.org/10.1029/93jb00192.

      [13] Nettleton L.L (1939) Determination of density for the reduction of gravimeter observations.Geophysics, 4, 176-183. http://dx.doi.org/10.1190/1.1437088.

      [14] Parasnis D.S (1952) A study of rock density in the English Midlands. Mon. Not. R. Astron. Soc. Geophys. Supp! 6, 252-271.

      [15] Parasnis D.S (1979) Principles of aPPlied geophysics. Third edition, Chapman and Hall, London, 275 pp. http://dx.doi.org/10.1007/978-94-009-5814-2.

      [16] Rikitake T, Tajima H, Izutuya S, Hagiwara Y, Kawada K, Sasai Y (1965) Gravimetric and geomagnetic studies of Onikobe area. Bul!. Earthq. Res. Inst., Univ. Tokyo, 43, 241-267.

      [17] Rimbert F, Erling j.c, Lakshmanan j (1987) Variable density Bouguer processing of gravity data from Herault, France. First Break, 5, 9-13. http://dx.doi.org/10.3997/1365-2397.1987001.

      [18] Sissons, B.A (1981) Densities determined from surface and subsurface gravity measurements. Geophysics, 46, 1568-1571. http://dx.doi.org/10.1190/1.1441163.

      [19] Thorarinsson F, Magnusson S. G (1990) Bouguer density determination by fractal analysis: Geophysics, 55, 932-935. http://dx.doi.org/10.1190/1.1442909.

      [20] Vajk, R (1956) Bouguer corrections with varying surface density. Geophysics, 4, 1004-1020. http://dx.doi.org/10.1190/1.1438292.

      [21] Yamamoto A (1998) Estimating the Optimum Reduction Den-sity for Gravity Anomaly: A Theoretical Overview. Jour. Fac. Sci., Hokkaido Univ., Ser. VII (Geophysics), Vol. 11, No.3, 577-599, 1999.

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  • How to Cite

    Eshaghzadeh, A., Kalantari, R. sadat, & Moeini Hekmat, Z. (2015). Optimum density determination for bouguer correction using statistical methods: a case study from north of Iran. International Journal of Advanced Geosciences, 3(2), 25-29. https://doi.org/10.14419/ijag.v3i2.4988