پایدارسازی محاسبه گرادیان قائم داده‌های میدان پتانسیل در مقابل نوفه تصادفی با استفاده از منظم‌سازی تیخونوف

 Alvandi, A., Ardestani, V. E., & Motavalli-Anbaran, S.-H. (2022). Calculation of stable vertical derivatives using the combination of finite difference and upward continuation, case study: gravity field data of the northern area of the Jalalabad iron ore mine, Kerman province. 8(4), 287-299. https://doi.org/10.22044/jrag.2024.14025.1356

Baniamerian, J., Liu, S., & Abbas, M. A. (2018). Stable computation of the vertical gradient of potential field data based on incorporating the smoothing filters. Pure and Applied Geophysics, 175, 2785-2806. https://doi.org/https://link.springer.com/article/10.1007/s00024-018-1857-2

Bezák, V., Bielik, M., Marko, F., Zahorec, P., Pašteka, R., Vozár, J., & Papčo, J. (2023). Geological and tectonic interpretation of the new Bouguer gravity anomaly map of Slovakia. Geologica Carpathica, 74(2), 109-122. https://doi.org/10.31577/GeolCarp.2023.08

Bezák, V., Pek, J., Vozár, J., Bielik, M., & Vozár, J. (2014). Geoelectrical and geological structure of the crust in Western Slovakia. Studia Geophysica et Geodaetica, 58, 473-488. https://doi.org/10.1007/s11200-013-0491-9

Blakely, R. J. (1996). Potential theory in gravity and magnetic applications. Cambridge university press.

Evjen, H. M. (1936). The place of the vertical gradient in gravitational interpretations. Geophysics, 1(1), 127-136. https://doi.org/https://doi.org/10.1190/1.1437067

Florio, G., Fedi, M., & Pasteka, R. (2006). On the application of Euler deconvolution to the analytic signal. Geophysics, 71(6), L87-L93. https://doi.org/https://doi.org/10.1190/1.2360204

Gubbins, D. (2004). Time series analysis and inverse theory for geophysicists. Cambridge university press.

Jiang, F.-Y., Huang, Y., & Yan, K. (2012). Full gravity gradient tensors from vertical gravity by cosine transform. Applied Geophysics, 9(3), 247-260.

Kántás, K. (1959). The gravitational potential and its vertical derivatives. Geofisica pura e applicata, 44, 20-24. https://doi.org/https://doi.org/10.1007/BF01997636

Mousapour Yasoori, M., & Ebrahimzadeh Ardestani, V. (2018). Improvement of the first and second vertical gradients calculated using cosine transform. 4(2), 413-427. https://doi.org/10.22044/jrag.2017.5684.1112

Nejati Kalateh, A., & Roshandel Kahoo, A. (2013). Edge detection of potential field data using Theta maps. Iranian Journal of Geophysics, 7(1), 24-33. https://doi.org/20.1001.1.20080336.1392.7.1.3.7

Oliveira, S. P., & Pham, L. T. (2022). A stable finite difference method based on upward continuation to evaluate vertical derivatives of potential field data. Pure and Applied Geophysics, 179(12), 4555-4566. https://doi.org/https://doi.org/10.1007/s00024-022-03164-z

Oliveira, S. P., Pham, L. T., & Pašteka, R. (2024). Regularization of vertical derivatives of potential field data using Morozov's discrepancy principle. Geophysical Prospecting, 72(8), 2880-2892. https://doi.org/10.1111/1365-2478.13534

Oruç, B. (2011). Edge detection and depth estimation using a tilt angle map from gravity gradient data of the Kozaklı-Central Anatolia Region, Turkey. Pure and Applied Geophysics, 168(10), 1769-1780. https://doi.org/10.1007/s00024-010-0211-0

Pašteka, R., Richter, F., Karcol, R., Brazda, K., & Hajach, M. (2009). Regularized derivatives of potential fields and their role in semi‐automated interpretation methods. Geophysical Prospecting, 57(4), 507-516. https://doi.org/https://doi.org/10.1111/j.1365-2478.2008.00780.x

Rezaie, M., Moradzadeh, A., Kalate, A. N., Aghajani, H., Kahoo, A. R., & Moazam, S. (2017). 3D modelling of Trompsburg Complex (in South Africa) using 3D focusing inversion of gravity data. Journal of African Earth Sciences, 130, 1-7. https://doi.org/10.1016/j.jafrearsci.2017.03.002

Roshandel Kahoo, A., & Anvari, R. (2024). Separation of regional-residual anomaly in 2D gravity data using the 2D singular spectrum analysis. Physics f the earth and space, 50(3), 573-594. https://doi.org/10.22059/jesphys.2024.367608.1007574

Roshandel Kahoo, A., Nejati Kalateh, A., & Salajegheh, F. (2015). Interpretation of gravity data using 2-D continuous wavelet transformation and 3-D inverse modeling. Journal of Applied Geophysics, 121, 54-62. https://doi.org/10.1016/j.jappgeo.2015.07.008

Roshandel Kahoo, A., Soltani, P., & Baghzendani, H. (2025). Using a new filter with high resolution to identify the edges of anomalies in the potential field data based on the thresholding of the tilt angle of the total horizontal gradient. Iranian Journal of Geophysics. https://doi.org/10.30499/ijg.2025.470149.1616

Roy, K. K. (2007). Potential theory in applied geophysics. Springer Science & Business Media.

Tran, K. V., & Nguyen, T. N. (2020). A novel method for computing the vertical gradients of the potential field: application to downward continuation. Geophysical Journal International, 220(2), 1316-1329. https://doi.org/https://doi.org/10.1093/gji/ggz524

Wijns, C., Perez, C., & Kowalczyk, P. (2005). Theta map: Edge detection in magnetic data. Geophysics, 70(4), L39-L43. https://doi.org/10.1190/1.1988184