An Easy Method for Interpretation of Gravity Anomalies Due to Vertical Finite Lines

• Autorzy: Kara I. , Hoskan N.

Identyfikatory

DOI

10.1515/acgeo-2016-0097

• Języki publikacji: EN

Abstrakty

EN

A new method is introduced to determine the top and bottom depth of a vertical line using gravity anomalies. For this, gravity at a distance x from the origin and horizontal derivative at that point are utilized. A numerical value is obtained dividing the gravity at point x by horizontal derivative. Then a new equation is obtained dividing the theoretical gravity equation by the derivative equation. In that equation, assigning various values to the depth and length of vertical line, several new numerical values are obtained. Among these values, a curve is obtained for the one that is closest to the first value from attending the depth and length values. The intersection point of these curves obtained by repeating this procedure several times for different points x yield the real depth and length values of the line. The method is tested on two synthetics and field examples. Successful results are obtained in both applications.

Słowa kluczowe

EN

gravity anomaly; depth of curve; length of curve; vertical finite line

PL

anomalia siły ciężkości; głębokość krzywej; długość krzywej

• Wydawca: Instytut Geofizyki PAN ; Springer
• Czasopismo: Acta Geophysica
• Rocznik: 2016
• Tom: Vol. 64, no. 6
• Strony: 2232--2243
• Opis fizyczny: Bibliogr. 17 poz.

Twórcy

autor

Kara I.

• Department of Geophysical Engineering, Faculty of Engineering, Istanbul University, Avcılar, Turkey

autor

Hoskan N.

• Department of Geophysical Engineering, Faculty of Engineering, Istanbul University, Avcılar, Turkey

Bibliografia

• Abdelrahman, E.M. (1990), Magnetic interpretation of long horizontal cylinders using correlation factors between successive least-squares residual anomaly profiles, Pure Appl. Geophys. 132, 3, 521-531, DOI: 10.1007/BF00876927.
• Abdelrahman, E.M., and T.M. El-Araby (1993), A least-squares minimization approches to depth determination from moving average residual gravity anomalies, Geophysics 58, 12, 1779-1784, DOI: 10.1190/1.1443392.
• Abdelrahman, E.M., and H.M. El-Araby (1993), Shape and depth solutions from gravity data using correlation factors between succesive least-squares residual, Geophysics 58, 12, 1785-1791, DOI: 10.1190/1.1443393.
• Abdelrahman, E.M., A.I. Bayoumi, Y.E. Abdelhayt, M.M. Gobashy, and H.M. ElAraby (1989), Gravity interpretation using correlation factors between successive least-squares residual anomalies, Geophysics 54, 12, 1614-1621, DOI: 10.1190/1.1442629.
• Essa, K.S. (2007a), Gravity data interpretation using the s-curves method, J. Geophys. Eng. 4, 2, 204-213, DOI: 10.1088/1742-2132/4/2/009.
• Essa, K.S. (2007b), A simple formula for shape and depth determination from residual gravity anomalies, Acta Geophys. 55, 2, 182-190, DOI: 10.2478/ s11600-007-0003-9.
• Essa, K.S. (2011), A new algorithm for gravity or self-potential data interpretation, J. Geophys. Eng. 8, 3, 434-446, DOI: 10.1088/1742-2132/8/3/004.
• Essa, K.S. (2012), A fast interpretation method for inverse modeling of residual gravity anomalies caused by simple geometry, J. Geol. Res. 2012, 327037, DOI: 10.1155/2012/327037.
• Essa, K.S. (2014), New fast least-squares algorithm for estimating the best-fitting parameters of some geometric-structures to measured gravity anomalies, J. Adv. Res. 5,1, 57-65, DOI: 10.1016/j.jare.2012.11.006.
• Gay, S.P. Jr. (1965), Standard curves for magnetic anomalies over long horizontal cylinders, Geophysics 30, 5, 818-828, DOI: 10.1190/1.1439656.
• Gupta, O.P. (1983), A least-squares approach to depth determination from gravity data, Geophysics 48, 3, 357-360, DOI: 10.1190/1.1441473.
• Kara, I., and A.I. Kanli (2005), Nomograms for interpretation of gravity anomalies of vertical cylinders, J. Balkan Geophys. Soc. 8, 1, 1-6.
• Mohan, N.L., L. Anandabadu, and R. Seshagari (1986), Gravity interpretation using the Melin transform, Geophysics 51, 1, 114-122, DOI: 10.1190/1.1442024.
• Nettleton, L.L. (1942), Gravity and magnetic calculation, Geophysics 7, 3, 293-310, DOI: 10.1190/1.1445015.
• Nettleton, L.L. (1976), Gravity and Magnetic in Oil Prospecting, McGraw-Hill Book Co.
• Odegard, M.E., and J.W. Berg (1965), Gravity interpretation using the Fourier integral, Geophysics 30, 3, 424-438, DOI: 10.1190/1.1439598.
• Shaw, R.K., and B.N.P. Agarwall (1990), The application of Walsh transforms to interpret gravity anomalies due to some simple geometrically shaped causative sources: A feasibility study, Geophysics 55, 7, 843-850, DOI: 10.1190/ 1.1442898.

Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017)