Monitoring groundwater levels at every point in dam abutments is often impractical; hence, geostatistical interpolation methods offer a viable alternative. This study applied inverse distance weighting (IDW), kriging, and sequential Gaussian simulation (SGS) to estimate groundwater levels at the Tangab Dam, based on data from 49 piezometers. After data normalization, variogram modeling identified the spherical model as the best fit, with a nugget-to-sill ratio of 19%, indicating strong spatial continuity. While IDW served for initial visualization, kriging and SGS revealed higher groundwater levels along the dam’s right abutment, corresponding to fault zones and karst features. The SGS approach, performed through 100 realizations, accurately reproduced the spatial variability and statistical properties of the observed data. Validation showed a correlation coefficient of 0.93 and unbiased residuals, confirming the model's reliability in well-instrumented regions. However, estimations in the northeastern and eastern zones were less reliable due to sparse data. This study underscores the value of integrating geostatistics and geological context for characterizing groundwater behavior in complex karst environments. Future work should involve expanding the monitoring network and coupling geostatistical outputs with numerical flow models to improve prediction and support dam safety assessments.
Farhadian H, Bahmani Shahraki F. Enhancing analytical methods for estimating water inflow to tunnels in the presence of discontinuity areas. Environ Earth Sci. 2024;83:339.
Anvari AA, Katibeh H, Sharifzadeh M, Farhadian H. Estimation of fault zone permeability with fuzzy-delphi AHP (FDAHP) method. Rock Mech Civ Environ Eng - Proc Eur Rock Mech Symp EUROCK 2010. 2010. https://doi.org/10.1201/b10550-56
Qi S, Wen Z, Lu C, Shu L, Shao J, Huang Y, et al. A new empirical model for estimating the hydraulic conductivity of low permeability media. Proc Int Assoc Hydrol Sci. 2015;368:478–83. https://doi.org/10.5194/piahs-368-478-2015
Farhadian H, Nikvar-Hassani A. Water flow into tunnels in discontinuous rock: a short critical review of the analytical solution of the art. Bull Eng Geol Environ. 2019;78:3833–49. https://doi.org/10.1007/s10064-018-1348-9
Farhadian H, Maleki Z, Eslaminezhad SA. Assessment of the Optimum Depth of Sealing Cutoff Walls in the Clay Core of Peygham-Chay Dam. J Hydraul Struct. 2021;7:59–76. https://doi.org/10.22055/jhs.2021.37119.1168
Nikvar Hassani A, Farhadian H, Katibeh H. A comparative study on evaluation of steady-state groundwater inflow into a circular shallow tunnel. Tunn Undergr Sp Technol. 2018;73. https://doi.org/10.1016/j.tust.2017.11.019
Dehshibi R, Karami S, Maleki Z, Farhadian H. A comparative study on evaluation of steady-state groundwater quality in Sirjan’s Golgohar mineral zone. Arab J Geosci. 2022;15:1–20. https://doi.org/10.1007/s12517-022-10074-w
Goovaerts P. Geostatistical approaches for incorporating elevation into the spatial interpolation of rainfall. J Hydrol. 2000;228:113–29. https://doi.org/10.1016/S0022-1694(00)00144-X
Barca E, Passarella G. Spatial evaluation of the risk of groundwater quality degradation. A comparison between disjunctive kriging and geostatistical simulation. Environ Monit Assess. 2008;137:261–73. https://doi.org/10.1007/s10661-007-9758-3
Rajaee T, Nourani V, Pouraslan F. Groundwater level forecasting using wavelet and kriging. J Hydraul Struct. 2016;2:1–21. https://jhs.scu.ac.ir/article_12848.html
Akhondi M, Mohammadi Z. Preliminary analysis of spatial development of karst using a geostatistical simulation approach. Bull Eng Geol Environ. 2014;73:1037–47. https://doi.org/10.1007/s10064-014-0599-3
Madani Esfahani N, Asghari O. Fault detection in 3D by sequential Gaussian simulation of Rock Quality Designation (RQD) Case study: Gazestan phosphate ore deposit, Central Iran. Arab J Geosci. 2013;6:3737–47. https://doi.org/10.1007/s12517-012-0633-3
Karimi H, Raeisi E, Zare M. Physicochemical time series of karst springs as a tool to differentiate the source of spring water. Carbonates and Evaporites. 2005;20:138–47. https://doi.org/10.1007/BF03175457
Mozafari M, Milanović P, Jamei J. Water leakage problems at the Tangab Dam Reservoir (SW Iran), case study of the complexities of dams on karst. Bull Eng Geol Environ. 2021;80:7989–8007. https://doi.org/10.1007/s10064-021-02387-z
Asadi N. The study of water tightness problem in Tangab Dam by use of dye tracers [M. Sc. Thesis (in Farsi)]: Dept. of Earth Sciences. Shiraz Univ Shiraz, Iran. 1998;
Huysmans M, Dassargues A. Application of multiple-point geostatistics on modelling groundwater flow and transport in a cross-bedded aquifer. Hydrogeol J. 2009;17. https://doi.org/10.1007/s10040-009-0495-2
Marache A, Breysse D, Piette C, Thierry P. Geotechnical modeling at the city scale using statistical and geostatistical tools: The Pessac case (France). Eng Geol. 2009;107:67–76. https://doi.org/10.1016/j.enggeo.2009.04.003
Jaquet O, Siegel P, Klubertanz G, Benabderrhamane H. Stochastic discrete model of karstic networks. Adv Water Resour. 2004;27:751–60. https://doi.org/10.1016/j.advwatres.2004.03.007
Hosseini E, Gholami R, Hajivand F. Geostatistical modeling and spatial distribution analysis of porosity and permeability in the Shurijeh-B reservoir of Khangiran gas field in Iran. J Pet Explor Prod Technol. 2019;9:1051–73. https://doi.org/10.1007/s13202-018-0587-4
Bai L, Cai J, Liu Y, Chen H, Zhang B, Huang L. Responses of field evapotranspiration to the changes of cropping pattern and groundwater depth in large irrigation district of Yellow River basin. Agric Water Manag. 2017;188:1–11. https://doi.org/10.1016/j.agwat.2017.03.028
Farhadian H. A new empirical chart for rockburst analysis in tunnelling: Tunnel rockburst classification (TRC). Int J Min Sci Technol. 2021; https://doi.org/10.1016/j.ijmst.2021.03.010
Shademan M, Farhadian H. Contribution of geostatistical modeling on simulating a geomechanical parameter (case study: GSI in Gol-Gohar open pit iron mine, Kerman, southeastern Iran). J Geomine. 2023;1:81–91. 10.22077/jgm.2023.6696.1013
Farhadian H, Nikvar-Hassani A. Development of a New Empirical Method to Tunnel Squeezing Classification (TSC). Q J Eng Geol Hydrogeol. 2020; https://doi.org/10.1144/qjegh2019-108
Journel AG. Modelling uncertainty and spatial dependence: stochastic imaging. Int J Geogr Inf Syst. 1996;10:517–22. https://doi.org/10.1080/02693799608902094
Farhadian H, Maleki Z. Groutability classification of granular soils with cement grouts. J Rock Mech Geotech Eng. 2023;15:1580–90. https://doi.org/10.1016/j.jrmge.2022.09.007
Deutsch C V. Geostatistical modelling of geometallurgical variables—Problems and solutions. Proc Int Geometallurgy Conf Brisbane, Aust. 2013.
Rossi ME, Deutsch C V, Rossi ME, Deutsch C V. Recoverable Resources: Simulation. Miner Resour Estim. 2014;167–92. https://doi.org/10.1007/978-1-4020-5717-5_10
Mohammadi Z, Raeisi E, Bakalowicz M. Method of leakage study at the karst dam site. A case study: Khersan 3 Dam, Iran. Environmental Geology. 2007;52:1053–65.
Farhadian H. A new empirical chart for rockburst analysis in tunnelling: Tunnel rockburst classification (TRC). Int J Min Sci Technol. 2021; https://doi.org/10.1016/j.ijmst.2021.03.010
Shademan M, Farhadian H. Contribution of geostatistical modeling on simulating a geomechanical parameter (case study: GSI in Gol-Gohar open pit iron mine, Kerman, southeastern Iran). Journal of Geomine. 2023;1:81–91. 10.22077/jgm.2023.6696.1013
Farhadian H, Nikvar-Hassani A. Development of a New Empirical Method to Tunnel Squeezing Classification (TSC). Quarterly Journal of Engineering Geology and Hydrogeology. 2020; https://doi.org/10.1144/qjegh2019-108
Journel AG. Modelling uncertainty and spatial dependence: stochastic imaging. International Journal of Geographical Information Systems. 1996;10:517–22. https://doi.org/10.1080/02693799608902094
Farhadian H, Maleki Z. Groutability classification of granular soils with cement grouts. Journal of Rock Mechanics and Geotechnical Engineering. 2023;15:1580–90. https://doi.org/10.1016/j.jrmge.2022.09.007
Deutsch C V. Geostatistical modelling of geometallurgical variables—Problems and solutions. Proceedings of the International Geometallurgy Conference, Brisbane, Australia. 2013.
Rossi ME, Deutsch C V, Rossi ME, Deutsch C V. Recoverable Resources: Simulation. Mineral Resource Estimation. 2014;167–92. https://doi.org/10.1007/978-1-4020-5717-5_10
Talaei H. Investigation on the flow path through the karstic formation of the left abutment of Tangab Dam by the means of Rhodamine-B dye tracer [M. Sc. Thesis (in Farsi)]: Dept. of Earth Sciences. Shiraz University, Shiraz, Iran. 1999;
Mozafari M, Raeisi E. Potential leakage paths at the dams constructed on karst terrains in Iran. Quarterly Journal of Engineering Geology and Hydrogeology. 2022;55:qjegh2021-102.
Dehshibi, R. & Farhadian, H. (2026). Geostatistical Analysis of Groundwater Levels at Tangab Dam Using IDW, Kriging, and Sequential Gaussian Simulation. Journal of Hydraulic Structures, 12(2), 1–21. https://doi.org/10.22055/jhs.2025.49615.1350
MLA
Dehshibi, R., & Farhadian, H. "Geostatistical Analysis of Groundwater Levels at Tangab Dam Using IDW, Kriging, and Sequential Gaussian Simulation", Journal of Hydraulic Structures, 12, 2, 2026, 1–21. doi: 10.22055/jhs.2025.49615.1350
HARVARD
Dehshibi, R., & Farhadian, H. (2026). 'Geostatistical Analysis of Groundwater Levels at Tangab Dam Using IDW, Kriging, and Sequential Gaussian Simulation', Journal of Hydraulic Structures, 12(2), pp. 1–21. doi: 10.22055/jhs.2025.49615.1350
CHICAGO
Dehshibi, R. & Farhadian, H., "Geostatistical Analysis of Groundwater Levels at Tangab Dam Using IDW, Kriging, and Sequential Gaussian Simulation." Journal of Hydraulic Structures, 12 2 (2026): 1–21, doi: 10.22055/jhs.2025.49615.1350
VANCOUVER
Dehshibi R., Farhadian H. Geostatistical Analysis of Groundwater Levels at Tangab Dam Using IDW, Kriging, and Sequential Gaussian Simulation. JHS. 2026;12(2):1–21. doi: 10.22055/jhs.2025.49615.1350