Spatial Interpolation of Intermediate Soil Properties to Enhance Geotechnical Surveying for Foundation Design

Authors: Yelbek B. Utepov, Assel T. Mukhamejanova, Aliya K. Aldungarova, Aida G. Nazarova, Sabit A. Karaulov, Nurgul T. Alibekova, Aigul K. Kozhas, Dias Kazhimkanuly, Akmaral K. Tleubayeva

Abstract:

This research focuses on enhancing geotechnical surveying for foundation design through the spatial interpolation of intermediate soil properties. Traditional geotechnical practices rely on discrete data from borehole drilling, soil sampling, and laboratory analyses, often neglecting the continuous nature of soil properties and disregarding values in intermediate locations. This study challenges these omissions by emphasizing interpolation techniques such as kriging, inverse distance weighting, and spline interpolation to capture the nuanced spatial variations in soil properties. The methodology is applied to geotechnical survey data from two construction sites in Astana, Kazakhstan, revealing continuous representations of Young's modulus, cohesion, and friction angle. The spatial heatmaps generated through interpolation offered valuable insights into the subsurface environment, highlighting heterogeneity and aiding in more informed foundation design decisions for considered cites. Moreover, intriguing patterns of heterogeneity, as well as visual clusters and transitions between soil classes, were explored within seemingly uniform layers. The study bridges the gap between discrete borehole samples and the continuous subsurface, contributing to the evolution of geotechnical engineering practices. The proposed approach, utilizing open-source software geographic information systems, provides a practical tool for visualizing soil characteristics and may pave the way for future advancements in geotechnical surveying and foundation design.

Keywords: Soil mechanical properties, spatial interpolation, Inverse Distance Weighting, heatmaps.

References:

[1] J. E. Bowles, Foundation analysis and design. New York: McGraw-Hill, 1988, 1004 p.
[2] B. M. Das, Principles of foundation engineering. Boston, MA: Cengage Learning, 2016, 919 p.
[3] R. E. Hunt, Geotechnical Engineering Investigation Handbook. Boca Raton: CRC Press, 2005, 1088 p. https://doi.org/10.1201/9781420039153
[4] W. Powrie, Soil Mechanics: Concepts and Applications. London: CRC Press, 2018, 682 p. https://doi.org/10.1201/9781315275284
[5] K. Terzaghi, Theoretical Soil Mechanics. Hoboken, NJ, USA: Wiley, 1943, 528 p. https://doi.org/10.1002/9780470172766
[6] D. L. Nguyen, Development of Rigid Plastic constitutive equation using non-linear shear strength property of sandy soil to estimate ultimate bearing capacity of footing. Nagaoka: Nagaoka University of Technology, 2016, 123 p.
[7] L. P. Wilding, “Spatial Variability: Its Documentation, Accommodation, and Implication to Soil Surveys,” in Soil Spatial Variability, Netherlands: Pudoc Wageningen, 1985, pp. 166–194.
[8] B. Berkowitz, “HESS Opinions: Chemical transport modeling in subsurface hydrological systems – space, time, and the “holy grail” of “upscaling”,” Hydrology and Earth System Sciences, vol. 26, no. 8, pp. 2161–2180, 2022. https://doi.org/10.5194/hess-26-2161-2022
[9] M. M. Aliero, M. H. Ismail, M. A. Alias, S. A. Mohd, S. Abdullahi, S. H. Kalgo, A. A. Kwaido, “Assessing soil physical properties variability and their impact on vegetation using geospatial tools in Kebbi State, Nigeria,” IOP Conference Series: Earth and Environmental Science, vol. 169, pp. 012111, 2018. https://doi.org/10.1088/1755-1315/169/1/012111
[10] A. Arote, S. Pawar, S. Joshi, “Mapping of Soil Properties Using Geographical Information System,” in Proceedings of the International Conference on Contents, Computing & Communication (ICCCC-2022), Online: SSRN, 2022, 11 p. https://doi.org/10.2139/ssrn.4043373
[11] S. Khatri, S. Suman, “Mapping of Soil Geotechnical Properties Using GIS,” in Proceedings of the Indian Conference on Geotechnical and Geo-Environmental Engineering (ICGGE-2019), Prayagraj, India, 2019, 4 p.
[12] Y.-H. (Eva) Wu, M.-C. Hung, “Comparison of Spatial Interpolation Techniques Using Visualization and Quantitative Assessment,” in Applications of Spatial Statistics, Rijeka, Croatia: InTech, 2016, p. 17-34. https://doi.org/10.5772/65996
[13] C. A. Schloeder, N. E. Zimmerman, M. J. Jacobs, “Comparison of Methods for Interpolating Soil Properties Using Limited Data,” Soil Science Society of America Journal, vol. 65, no. 2, pp. 470–479, 2001. https://doi.org/10.2136/sssaj2001.652470x
[14] Columbia Public Health, Kriging Interpolation Explanation. Columbia University Mailman School of Public Health (Electronic resource), 2016: https://www.publichealth.columbia.edu/research/population-health-methods/kriging-interpolation (accessed date: 16.02.2024).
[15] T. Tülay, N. Bayrami̇, “Assessment of ınverse distance weighting (IDW) ınterpolation on spatial variability of selected soil properties in the Cukurova plain,” Tarım Bilimleri Dergisi, vol. 22, no. 3, pp. 377–384, 2016. https://doi.org/10.1501/Tarimbil_0000001396
[16] T. Hengl, R.A. MacMillan, Predictive Soil Mapping with R. Wageningen, Netherlands: OpenGeoHub foundation, 2018, 370 p.
[17] J. Li, A.D. Heap, “Spatial interpolation methods applied in the environmental sciences: A review,” Environmental Modelling & Software, vol. 53, pp. 173–189, 2014. https://doi.org/10.1016/j.envsoft.2013.12.008
[18] List of Open Source GIS Software (Electronic resource), 2023, mode of access: https://www.simonwenkel.com/lists/software/list-of-opensource-GIS-software.html (accessed date: 16.02.2024).
[19] “Welcome to Geospatial Analysis with Python and R 2021 (the Python part),” in Geospatial Analysis with Python and R 2021 documentation (Electronic resource), 2023, mode of access: https://kodu.ut.ee/~kmoch/geopython2021/ (accessed date: 16.02.2024).
[20] S. Khatri, S. Suman, “Spatial Interpolation and Mapping of Soil Geotechnical Properties of Udham Singh Nagar District using GIS,” International Journal of Engineering Research in Computer Science and Engineering (IJERCSE), vol. 5, no. 2, pp. ??-??, 2018.
[21] QGIS, “QGIS User Guide,” in QGIS Documentation (Electronic resource), 2024, mode of access: https://docs.qgis.org/3.34/en/docs/user_manual/ (accessed date: 18.02.2024).
[22] QGIS, “11.3. Inverse Distance Weighted (IDW),” in QGIS Documentation (Electronic resource), 2024, mode of access: https://docs.qgis.org/3.28/en/docs/gentle_gis_introduction/spatial_analysis_interpolation.html (accessed date: 18.02.2024).
[23] R.D. Stieglitz, “Cross-sections,” in The Encyclopedia of Field and General Geology, New York, NY: Springer Science & Business Media, 1988, pp. 100–103.
[24] Esri, “Multidimensional raster data—ArcGIS Pro Documentation.” in ArcGIS Pro Resources (Electronic resource), (2024), mode of access: https://pro.arcgis.com/en/pro-app/2.9/help/data/imagery/an-overview-of-multidimensional-raster-data.htm (accessed date: 20.02.2024).