Estimating The Location of a Buried Body from Magnetic Anomaly Through Normalized Full Gradient: A Case Study from The Sapinuwa Ancient City, Turkey
Yıl 2023,
Cilt: 12 Sayı: 2, 578 - 590, 27.06.2023
Şenol Özyalın
,
Zafer Akçığ
Öz
In geophysics, whether the structure is close to the surface or deeper, information about the depth and location of the structure can be obtained by using magnetic data. The importance of this study is an example of the application of the Normalized Full Gradient (NFG) method to an archaeological site to find the depth and location of structures that cause magnetic anomalies collected at the archaeological site. One of the parameters affecting the shape and size of the magnetic anomaly is the depth of the source causing the anomaly. For this reason, it is significant to determine the location of the source correctly. One of the methods used to determine the depth of structure using magnetic field data is NFG technique. In the application of downward analytical continuation, distortions due to the passage of mass depth occur and this method invalidates this. The NFG technique was tested on anomalies caused by prism-shaped synthetic models. Test studies on synthetic models with the NFG technique have yielded satisfactory findings. Based on the findings, the NFG technique was carried out to the real magnetic anomaly collected in the ancient city of Sapinuwa. The findings were compared with the building remains unearthed as a result of the proposed trench excavations. The obtained results have shown satisfactory results.
Teşekkür
This study is part of the PhD thesis named “Potansiyel alanlarda Otomatik Değerlendirme Teknikleri ve Arkeolojik Alanlara Uygulanması, (2003)” of Şenol Özyalın. I would like to thank Prof. Dr. Aygül Süel and Dr. Mustafa R. Süel, who directed the excavation of the ancient city of Sapinuwa for providing valuable support during the collection of magnetic data.
Kaynakça
- [1] V. N. Strakhov, “On methods of mathematical theory construction in interpretation of magnetic and
gravity anomalies,” Applied Geophysics, vol. 25, pp. 125–133, 1962.
- [2] G. Y. Golizdra, “On relationship between singular points of gravity potential and form anomalous masses”. In: 2nd Conference of Young Geologists of Ukraine Proceedings, Kyiv, 1962.
- [3] V. M. Berezkin, “Application of the total vertical gradient of gravity for determination of the depths to the sources of gravity anomalies,” Exploration Geophysics, vol. 18, pp. 69-79, 1967.
- [4] V.M. Berezkin, “Full Gradient Method in Geophysical Prospecting,” Moscow, USSR: Nedra
Publishing House, 1988.
- [5] R. Pašteka, “2D semi-automated and environmental methods in gravimetry and magnetometry,” Acta Geologica Universitatis Comenianae, Vol: 55, pp: 5-50, 2000.
- [6] Ş. Özyalın, “Automated interpretation methods in potential fields and application to the archeological sites,” PhD Thesis, Dokuz Eylul University, İzmir, Turkey, 2003.
- [7] A. Aydın, “Interpretation of gravity anomalies with the normalized full gradient (NFG) method and an example,” Pure and Applied Geophysics, V.164, pp. 2329-2344, 2007.
- [8] A. Aydın, “Application of the normalized full gradient (NFG) method to resistivity data,” Turkish Journal of Earth Sciences, Vol. 19, pp. 513-526, 2010.
- [9] P. Sındırgı, O. Pamukçu, Ş. Özyalın, “Application of normalized full gradient method to self potential (SP) data”, Pure and Applied Geophysics, V. 165, pp. 409-427, 2008.
- [10] B. Oruç, A. Keskinsezer, “Detection of causative bodies by normalized full gradient of aeromagnetic anomalies from east Marmara region, NW Turkey,” Journal of Applied Geophysics, V.65, pp. 39-49, 2008.
- [11] H. Aghajani, A. Moradzadeh, H. Zeng, “Detection of high potential oil and gas fields using normalized full gradient of gravity anomalies: a case study in the Tabas Basin, Eastern Iran,” Pure and Applied Geophysics, V. 168, pp. 1851-1863, 2011.
- [12] P. Sındırgı, Ş. Özyalın, “Estimating the location of a causative body from a self-potential anomaly using 2D and 3D normalized full gradient and Euler deconvolution” Turkish Journal of Earth Sciences, Vol. 28: No. 4, pp. 640-659, 2019.
- [13] Y.L. Ekinci, Ş. Özyalın, P. Sındırgı, Ç. Balkaya, G. Göktürkler, “Amplitude inversion of 2D analytic signal of magnetic anomalies through differential evolution algorithm,” Journal of Geophysics and Engineering, Vol. 14(6), pp. 1492-1508, 2017.
- [14] Y.L. Ekinci, A. Büyüksaraç, Ö. Bektaş, C. Ertekin “Geophysical Investigation of Mount Nemrut Stratovolcano (Bitlis, Eastern Turkey) Through Aeromagnetic Anomaly Analyses,” Pure Appl. Geophys. Vol. 177, pp. 3243–3264, 2020. https://doi.org/10.1007/s00024-020-02432-0
- [15] H. Karslı, “The Usage of Normalized Full Gradient Method in Seismic Data Analysis and a Comparison to Complex Envelope Curves,” PhD Thesis, Karadeniz Technical University, Trabzon, Turkey, 2001.
- [16] D. Dondurur, “Depth estimates for Slingram electromagnetic anomalies from dipping sheet-like bodies by the normalized full gradient method,” Pure and Applied Geophysics, Vol. 161, pp. 2179-2196, 2005.
- [17] S. Srivastava, B.N.P. Agarwal, “Inversion of the amplitude of the two-dimensional analytic signal of the magnetic anomaly by the particle swarm optimization technique”, Geophys J Int Vol. 182, pp. 652– 662, 2010. https://doi.org/10.1111/j.1365-246X.2010.04631.x
- [18] E.S.M. Abdelrahman, E.R. Abo-Ezz, K.S. Essa, “Parametric inversion of residual magnetic anomalies due to simple geometric bodies”, Explor Geophys Vol. 43, pp.178–189, 2012. https://doi.org/10.1071/EG11026
- [19] K.S. Essa, M. Elhussein, “A new approach for the interpretation of self-potential data by 2-D inclined plate”, J Appl Geophys, Vol. 136, pp. 455–461, 2017.
https://doi.org/10.1016/j.jappgeo.2016.11.019
- [20] A. Biswas, M.P. Parija, S. Kumar, “Global nonlinear optimization for the interpretation of source parameters from total gradient of gravity and magnetic anomalies caused by thin dyke”, Ann Geophys, 2017. https://doi.org/10.4401/ag-7129
- [21] Y.L. Ekinci, M.A. Kaya, “Manyetik verilerde sınır analizi yöntemi kullanarak gömülü arkeolojik yapı sınırlarının tanımlanması”, Yerbilimleri, Vol. 27(2), pp. 97-107, 2006.
- [22] Ç. Balkaya, G. Göktürkler, Z. Erhan, Y.L. Ekinci, "Exploration for a cave by magnetic and electrical resistivity surveys: Ayvacık Sinkhole example, Bozdağ, İzmir (western Turkey)," Geophys. Vol. 77, pp. B135-B146, (2012). https://doi.org/10.1190/geo2011-0290.1
- [23] A. Büyüksaraç, C.Ç. Yalçıner, Y.L. Ekinci, A. Demirci, M.A. Yücel, “Geophysical investigations at Agadere Cemetery, Gallipoli Peninsular, NW Turkey”, Australian Journal of Forensic Sciences, Vol. 46(1), pp. 111–123, 2014.
http://dx.doi.org/10.1080/00450618.2013.804948.
- [24] Y.L. Ekinci, Ç. Balkaya, A. Şeren, M.A. Kaya, C. Lightfoot, 2014. “Geomagnetic and Geoelectrical Prospection for Buried Archaeological Remains on the Upper City of Amorium, a Byzantine City in Midwestern Anatolia, Turkey”. Journal of Geophysics and Engineering, Vol.11 (1), 015012, 2014.
- [25] S. Yilmaz, Ç. Balkaya, O. Çakmak, E. Oksum, “GPR and ERT Explorations at the Archaeological Site of Kılıç Village (Isparta, SW Turkey)”, Journal of Applied Geophysics, Vol. 170: 103859, 2019.
- [26] Ç. Balkaya, Y.L. Ekinci, O. Çakmak, M. Blömer, J. Arnkens, M.A. Kaya, “A challenging archaeo-geophysical exploration through GPR and ERT surveys on the Keber Tepe, City Hill of Doliche, Commagene (Gaziantep, SE Turkey)”, Journal of Applied Geophysics, Vol. 186,104272, 2021.
- [27] M.Ö. Arısoy, Ö. Koçak, A. Büyüksaraç, F. Bilim, “Images of Buried Graves in Bayat, Afyon (Turkey) from High-resolution Magnetic Data and Their Comparison with Preliminary Excavations”, Journal of Archaeological Science, Vol. 34 (9): pp.1473-1484, 2007.
- [28] A. Büyüksaraç, M.Ö. Arısoy, Ö. Bektaş, Ö. Koçak, T. Çay, “Determination of Grave Locations in Dedemezari Necropolis (Western Turkey) using Magnetic Field Derivatives”, Archaeological Prospection, Vol. 15 (4), pp. 267-283, 2008.
- [29] S. Yilmaz, Ç. Balkaya, O. Çakmak, E.Oksum, “GPR and ERT explorations at the archaeological site of Kılıç village (Isparta, SW Turkey)”, Journal of Applied Geophysics, Vol. 170,103859, 2019. https://doi.org/10.1016/j.jappgeo.2019.103859
- [30] M.A Kaya, Ş. Özyalın, “Malos Antik Kentinin Manyetik Yöntemle Araştırılması”, Workshop: Arkeoloji ve Jeofizik, İzmir, 1999.
- [31] Ç. Balkaya , A. Sever , O. Çakmak, F. Özcan, "Arkeolojik Alanlarda Jeofizik Prospeksiyon: Pisidia Mallos Örneği", Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, Vol. 9(2), pp. 958-966, 2020. doi:10.17798/bitlisfen.624678
- [32] Y.L. Ekinci, M.A. Kaya, “3D Resistivity Imaging of Buried Tombs at the Parion Necropolis (NW Turkey)”, Journal of the Balkan Geophysical Society, Vol. 10 (2), pp.1-8. 2007.
- [33] Y.L. Ekinci, M.A. Kaya, C. Başaran, H. Kasapoğlu, A. Demirci, C., Durgut, “Geophysical Imaging Survey in the South Necropolis at the Ancient City of Parion (Kemer-Biga), Northwestern Anatolia, Turkey: Preliminary Results”, Mediterranean Archaeology and Archaeometry, Vol. 12 (2), pp. 145-157, 2012.
- [34] Ç. Balkaya, Ü.Y. Kalyoncuoğlu, M. Özhanlı, G. Merter, O. Çakmak, İ.T. Güven, “Ground penetrating Radar and Electrical Resistivity Tomography Studies in the Biblical Pisidian Antioch City, SW Anatolia”, Archaeological Prospection, Vol. 25 (4), pp. 285-300, 2018.
- [35] İ. Akca, Ç. Balkaya, A. Pülz, H.S. Alanyalı, M.A. Kaya, “Integrated Geophysical Investigations to Reconstruct the Archaeological Features in the Episcopal District of Side (Antalya, Southern Turkey)”, Journal of Applied Geophysics, Vol. 163, pp. 22-30, 2019.
- [36] M.G. Drahor, T.Ö. Kurtulmuş, M.A. Berge, M. Hartmann, M.A. Speidel, “Magnetic Imaging and Electrical Resistivity Tomography Studies in a Roman Military Installation found in Satala Archaeological Site, Northeastern Anatolia, Turkey”, Journal of Archaeological Science, Vol. 35 (2), pp. 259-271, 2008.
- [37] M.G. Drahor, “Integrated Geophysical Studies in the Upper part of Sardis Archaeological Site, Turkey”, Journal of Applied Geophysics, Vol. 59 (3), pp. 205-223, 2006.
- [38] M.A. Berge, M.G. Drahor, “Electrical Resistivity Tomography Investigations of Multi Layered Archaeological Settlements: Part I – Modelling”, Archaeological Prospection, Vol. 18 (3), pp. 159- 171, 2011.
- [39] M.A. Berge, M.G. Drahor, “Electrical Resistivity Tomography Investigations of MultiLayered Archaeological Settlements: Part II – A Case from Old Smyrna Höyük, Turkey”, Archaeological Prospection, Vol. 18 (4), pp. 291-302, 2011.
- [40] M.A. Kaya, Ç. Balkaya, Y.L. Ekinci, A. Demirci, “Kültür Mirasımız, Torunlarımızın Emaneti için Arkeojeofizik, Neden, Nereye?”, Jeofizik Bülteni, Vol. 72, pp. 29-45, 2013.
- [41] M.A. Berge, M.G. Drahor, T.Ö. Kurtulmuş, M. Hartmann, M.A. Speidel, “Magnetic and Electrical Resistivity Tomography Investigations in a Roman Legionary Camp Site (Legio IV Scythica) in Zeugma, Southeastern Anatolia, Turkey”, Archaeological Prospection, Vol. 15 (3), pp. 159- 186, 2008.
- [42] P. Wessel, W.H.F. Smith, “New version of the Generic Mapping Tools (GMT)”, EOS Transactions 76, 329, 1995. doi: 10.1029/95EO00198
- [43] W.M., Telford, L.P. Geldart, D.A. Keys, “Applied Geophysics,” Cambridge University Press, Cambridge, 860 p., 1976.
- [44] M. N. Nabighian, “The analytic signal of two-dimensional magnetic bodies with polygonal cross-section: its properties and use for automated anomaly interpretation,” Geophysics, Vol. 37, pp. 507–17, 1972.
- [45] V. M. Berezkin, “Using in Oil-Gas Exploration of Gravity Method,” Moscow, Nedra, 1973.
- [46] R. Bracewell, “The Fourier Transform and Its Applications,” McGraw-Hill Book Co., New York, 1984.
- [47] R.J. Blakely, “Potential Theory in Gravity and Magnetic Applications,” Cambridge University Press, New York, 1995.
Yıl 2023,
Cilt: 12 Sayı: 2, 578 - 590, 27.06.2023
Şenol Özyalın
,
Zafer Akçığ
Kaynakça
- [1] V. N. Strakhov, “On methods of mathematical theory construction in interpretation of magnetic and
gravity anomalies,” Applied Geophysics, vol. 25, pp. 125–133, 1962.
- [2] G. Y. Golizdra, “On relationship between singular points of gravity potential and form anomalous masses”. In: 2nd Conference of Young Geologists of Ukraine Proceedings, Kyiv, 1962.
- [3] V. M. Berezkin, “Application of the total vertical gradient of gravity for determination of the depths to the sources of gravity anomalies,” Exploration Geophysics, vol. 18, pp. 69-79, 1967.
- [4] V.M. Berezkin, “Full Gradient Method in Geophysical Prospecting,” Moscow, USSR: Nedra
Publishing House, 1988.
- [5] R. Pašteka, “2D semi-automated and environmental methods in gravimetry and magnetometry,” Acta Geologica Universitatis Comenianae, Vol: 55, pp: 5-50, 2000.
- [6] Ş. Özyalın, “Automated interpretation methods in potential fields and application to the archeological sites,” PhD Thesis, Dokuz Eylul University, İzmir, Turkey, 2003.
- [7] A. Aydın, “Interpretation of gravity anomalies with the normalized full gradient (NFG) method and an example,” Pure and Applied Geophysics, V.164, pp. 2329-2344, 2007.
- [8] A. Aydın, “Application of the normalized full gradient (NFG) method to resistivity data,” Turkish Journal of Earth Sciences, Vol. 19, pp. 513-526, 2010.
- [9] P. Sındırgı, O. Pamukçu, Ş. Özyalın, “Application of normalized full gradient method to self potential (SP) data”, Pure and Applied Geophysics, V. 165, pp. 409-427, 2008.
- [10] B. Oruç, A. Keskinsezer, “Detection of causative bodies by normalized full gradient of aeromagnetic anomalies from east Marmara region, NW Turkey,” Journal of Applied Geophysics, V.65, pp. 39-49, 2008.
- [11] H. Aghajani, A. Moradzadeh, H. Zeng, “Detection of high potential oil and gas fields using normalized full gradient of gravity anomalies: a case study in the Tabas Basin, Eastern Iran,” Pure and Applied Geophysics, V. 168, pp. 1851-1863, 2011.
- [12] P. Sındırgı, Ş. Özyalın, “Estimating the location of a causative body from a self-potential anomaly using 2D and 3D normalized full gradient and Euler deconvolution” Turkish Journal of Earth Sciences, Vol. 28: No. 4, pp. 640-659, 2019.
- [13] Y.L. Ekinci, Ş. Özyalın, P. Sındırgı, Ç. Balkaya, G. Göktürkler, “Amplitude inversion of 2D analytic signal of magnetic anomalies through differential evolution algorithm,” Journal of Geophysics and Engineering, Vol. 14(6), pp. 1492-1508, 2017.
- [14] Y.L. Ekinci, A. Büyüksaraç, Ö. Bektaş, C. Ertekin “Geophysical Investigation of Mount Nemrut Stratovolcano (Bitlis, Eastern Turkey) Through Aeromagnetic Anomaly Analyses,” Pure Appl. Geophys. Vol. 177, pp. 3243–3264, 2020. https://doi.org/10.1007/s00024-020-02432-0
- [15] H. Karslı, “The Usage of Normalized Full Gradient Method in Seismic Data Analysis and a Comparison to Complex Envelope Curves,” PhD Thesis, Karadeniz Technical University, Trabzon, Turkey, 2001.
- [16] D. Dondurur, “Depth estimates for Slingram electromagnetic anomalies from dipping sheet-like bodies by the normalized full gradient method,” Pure and Applied Geophysics, Vol. 161, pp. 2179-2196, 2005.
- [17] S. Srivastava, B.N.P. Agarwal, “Inversion of the amplitude of the two-dimensional analytic signal of the magnetic anomaly by the particle swarm optimization technique”, Geophys J Int Vol. 182, pp. 652– 662, 2010. https://doi.org/10.1111/j.1365-246X.2010.04631.x
- [18] E.S.M. Abdelrahman, E.R. Abo-Ezz, K.S. Essa, “Parametric inversion of residual magnetic anomalies due to simple geometric bodies”, Explor Geophys Vol. 43, pp.178–189, 2012. https://doi.org/10.1071/EG11026
- [19] K.S. Essa, M. Elhussein, “A new approach for the interpretation of self-potential data by 2-D inclined plate”, J Appl Geophys, Vol. 136, pp. 455–461, 2017.
https://doi.org/10.1016/j.jappgeo.2016.11.019
- [20] A. Biswas, M.P. Parija, S. Kumar, “Global nonlinear optimization for the interpretation of source parameters from total gradient of gravity and magnetic anomalies caused by thin dyke”, Ann Geophys, 2017. https://doi.org/10.4401/ag-7129
- [21] Y.L. Ekinci, M.A. Kaya, “Manyetik verilerde sınır analizi yöntemi kullanarak gömülü arkeolojik yapı sınırlarının tanımlanması”, Yerbilimleri, Vol. 27(2), pp. 97-107, 2006.
- [22] Ç. Balkaya, G. Göktürkler, Z. Erhan, Y.L. Ekinci, "Exploration for a cave by magnetic and electrical resistivity surveys: Ayvacık Sinkhole example, Bozdağ, İzmir (western Turkey)," Geophys. Vol. 77, pp. B135-B146, (2012). https://doi.org/10.1190/geo2011-0290.1
- [23] A. Büyüksaraç, C.Ç. Yalçıner, Y.L. Ekinci, A. Demirci, M.A. Yücel, “Geophysical investigations at Agadere Cemetery, Gallipoli Peninsular, NW Turkey”, Australian Journal of Forensic Sciences, Vol. 46(1), pp. 111–123, 2014.
http://dx.doi.org/10.1080/00450618.2013.804948.
- [24] Y.L. Ekinci, Ç. Balkaya, A. Şeren, M.A. Kaya, C. Lightfoot, 2014. “Geomagnetic and Geoelectrical Prospection for Buried Archaeological Remains on the Upper City of Amorium, a Byzantine City in Midwestern Anatolia, Turkey”. Journal of Geophysics and Engineering, Vol.11 (1), 015012, 2014.
- [25] S. Yilmaz, Ç. Balkaya, O. Çakmak, E. Oksum, “GPR and ERT Explorations at the Archaeological Site of Kılıç Village (Isparta, SW Turkey)”, Journal of Applied Geophysics, Vol. 170: 103859, 2019.
- [26] Ç. Balkaya, Y.L. Ekinci, O. Çakmak, M. Blömer, J. Arnkens, M.A. Kaya, “A challenging archaeo-geophysical exploration through GPR and ERT surveys on the Keber Tepe, City Hill of Doliche, Commagene (Gaziantep, SE Turkey)”, Journal of Applied Geophysics, Vol. 186,104272, 2021.
- [27] M.Ö. Arısoy, Ö. Koçak, A. Büyüksaraç, F. Bilim, “Images of Buried Graves in Bayat, Afyon (Turkey) from High-resolution Magnetic Data and Their Comparison with Preliminary Excavations”, Journal of Archaeological Science, Vol. 34 (9): pp.1473-1484, 2007.
- [28] A. Büyüksaraç, M.Ö. Arısoy, Ö. Bektaş, Ö. Koçak, T. Çay, “Determination of Grave Locations in Dedemezari Necropolis (Western Turkey) using Magnetic Field Derivatives”, Archaeological Prospection, Vol. 15 (4), pp. 267-283, 2008.
- [29] S. Yilmaz, Ç. Balkaya, O. Çakmak, E.Oksum, “GPR and ERT explorations at the archaeological site of Kılıç village (Isparta, SW Turkey)”, Journal of Applied Geophysics, Vol. 170,103859, 2019. https://doi.org/10.1016/j.jappgeo.2019.103859
- [30] M.A Kaya, Ş. Özyalın, “Malos Antik Kentinin Manyetik Yöntemle Araştırılması”, Workshop: Arkeoloji ve Jeofizik, İzmir, 1999.
- [31] Ç. Balkaya , A. Sever , O. Çakmak, F. Özcan, "Arkeolojik Alanlarda Jeofizik Prospeksiyon: Pisidia Mallos Örneği", Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, Vol. 9(2), pp. 958-966, 2020. doi:10.17798/bitlisfen.624678
- [32] Y.L. Ekinci, M.A. Kaya, “3D Resistivity Imaging of Buried Tombs at the Parion Necropolis (NW Turkey)”, Journal of the Balkan Geophysical Society, Vol. 10 (2), pp.1-8. 2007.
- [33] Y.L. Ekinci, M.A. Kaya, C. Başaran, H. Kasapoğlu, A. Demirci, C., Durgut, “Geophysical Imaging Survey in the South Necropolis at the Ancient City of Parion (Kemer-Biga), Northwestern Anatolia, Turkey: Preliminary Results”, Mediterranean Archaeology and Archaeometry, Vol. 12 (2), pp. 145-157, 2012.
- [34] Ç. Balkaya, Ü.Y. Kalyoncuoğlu, M. Özhanlı, G. Merter, O. Çakmak, İ.T. Güven, “Ground penetrating Radar and Electrical Resistivity Tomography Studies in the Biblical Pisidian Antioch City, SW Anatolia”, Archaeological Prospection, Vol. 25 (4), pp. 285-300, 2018.
- [35] İ. Akca, Ç. Balkaya, A. Pülz, H.S. Alanyalı, M.A. Kaya, “Integrated Geophysical Investigations to Reconstruct the Archaeological Features in the Episcopal District of Side (Antalya, Southern Turkey)”, Journal of Applied Geophysics, Vol. 163, pp. 22-30, 2019.
- [36] M.G. Drahor, T.Ö. Kurtulmuş, M.A. Berge, M. Hartmann, M.A. Speidel, “Magnetic Imaging and Electrical Resistivity Tomography Studies in a Roman Military Installation found in Satala Archaeological Site, Northeastern Anatolia, Turkey”, Journal of Archaeological Science, Vol. 35 (2), pp. 259-271, 2008.
- [37] M.G. Drahor, “Integrated Geophysical Studies in the Upper part of Sardis Archaeological Site, Turkey”, Journal of Applied Geophysics, Vol. 59 (3), pp. 205-223, 2006.
- [38] M.A. Berge, M.G. Drahor, “Electrical Resistivity Tomography Investigations of Multi Layered Archaeological Settlements: Part I – Modelling”, Archaeological Prospection, Vol. 18 (3), pp. 159- 171, 2011.
- [39] M.A. Berge, M.G. Drahor, “Electrical Resistivity Tomography Investigations of MultiLayered Archaeological Settlements: Part II – A Case from Old Smyrna Höyük, Turkey”, Archaeological Prospection, Vol. 18 (4), pp. 291-302, 2011.
- [40] M.A. Kaya, Ç. Balkaya, Y.L. Ekinci, A. Demirci, “Kültür Mirasımız, Torunlarımızın Emaneti için Arkeojeofizik, Neden, Nereye?”, Jeofizik Bülteni, Vol. 72, pp. 29-45, 2013.
- [41] M.A. Berge, M.G. Drahor, T.Ö. Kurtulmuş, M. Hartmann, M.A. Speidel, “Magnetic and Electrical Resistivity Tomography Investigations in a Roman Legionary Camp Site (Legio IV Scythica) in Zeugma, Southeastern Anatolia, Turkey”, Archaeological Prospection, Vol. 15 (3), pp. 159- 186, 2008.
- [42] P. Wessel, W.H.F. Smith, “New version of the Generic Mapping Tools (GMT)”, EOS Transactions 76, 329, 1995. doi: 10.1029/95EO00198
- [43] W.M., Telford, L.P. Geldart, D.A. Keys, “Applied Geophysics,” Cambridge University Press, Cambridge, 860 p., 1976.
- [44] M. N. Nabighian, “The analytic signal of two-dimensional magnetic bodies with polygonal cross-section: its properties and use for automated anomaly interpretation,” Geophysics, Vol. 37, pp. 507–17, 1972.
- [45] V. M. Berezkin, “Using in Oil-Gas Exploration of Gravity Method,” Moscow, Nedra, 1973.
- [46] R. Bracewell, “The Fourier Transform and Its Applications,” McGraw-Hill Book Co., New York, 1984.
- [47] R.J. Blakely, “Potential Theory in Gravity and Magnetic Applications,” Cambridge University Press, New York, 1995.