Correo Electrónico
DNINFOA - SIA
Bibliotecas
Convocatorias
Identidad U.N.
Published
Assessment of groundwater level variations using multivariate statistical methods
Evaluación de cambios en el nivel freático mediante métodos estadísticos multivariados
Keywords:
Analysis of repeated measures profiles, boreholes, infrastructure projects, Metro of Bogotá city (en)Análisis de perfiles de medidas repetidas, Metro de la ciudad de Bogotá, proyectos de infraestructura, sondeos (es)
Fluctuation of groundwater level induces changes in pore-water pressure of soil. However, this variation is not considered for underground constructions. This article explores the application of a statistical method to evaluate the groundwater level variation in geotechnical designs. The methodology included: (i) data collection, (ii) statistic formulation, and (iii) statistic data analysis. We collected information from the technical studies of the project “Metro de Bogotá”, and selected four boreholes spanning 160 m, approximately, where the 1° de Mayo metro station will be built, in the south of the city. We used groundwater level readings reported by different piezometers for 30 days and data variance was assessed using a multivariate statistical method: analysis of repeated measures profiles. Results present a procedure to estimate the groundwater level fluctuation during a short monitoring period. We concluded that the analysis of repeated measures profiles allows estimating the groundwater level variation under a significance level 1-a.
La fluctuación del nivel freático induce cambios en la presión de poros del suelo. Sin embargo, esta variación no se contempla en construcciones subterráneas. Este documento explora la aplicación de un método estadístico para evaluar la variación del nivel freático en diseños geotécnicos. La metodología incluyó: (i) recolección de datos, (ii) formulación estadística y (iii) análisis estadístico de datos. Se recopiló información de los estudios técnicos del proyecto "Metro de Bogotá". Se seleccionaron cuatro sondeos que abarcan 160 m, aproximadamente, donde se construirá la estación 1° de Mayo, al sur de la ciudad. Se utilizaron lecturas de nivel freático reportadas por varios piezómetros, durante 30 días y la variabilidad de los datos se evaluó utilizando el método estadístico multivariado: análisis de perfiles de medidas repetidas. Los resultados presentan un procedimiento para estimar la fluctuación del nivel freático durante un período corto de monitoreo. Se concluyó que el análisis de perfiles de medidas repetidas permite estimar la variación del nivel freático bajo un nivel de significancia 1-a.
Downloads
References
Ausilio, E., and Conte, E. (2005). Influence of groundwater on the bearing capacity of shallow foundations. Canadian Geotechnical Journal, 42(2), 663-672. DOI: 10.1139/T04-084
Bulut, O. (2013). Between-person and Within-person Subscore Reliability: Comparison of Unidimensional and Multidimensional IRT Models. (Ph.D. thesis, University of Minnesota). Retrieved from: http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.816.4794&rep=rep1&type=pdf .
Bulut, O., Davison, M. L., and Rodriguez, M. C. (2017). Estimating Between-Person and Within-Person Subscore Reliability with Profile Analysis. Multivariate Behavioral Research, 52(1), 86–104. DOI: 10.1080/00273171.2016.1253452
Bulut, O., and Desjardins, C. D. (2017). Profile Analysis of Multivariate Data in R. R Library [R Package version 0.3-5]. Retrieved from https://cran.r-project.org/web/packages/profileR/profileR.pdf
Caicedo, B., Mendoza, C., López, F., and Lizcano, A. (2018). Behavior of diatomaceous soil in lacustrine deposits of Bogotá, Colombia. Journal of Rock Mechanics and Geotechnical Engineering, 10(2), 367–379. DOI: 10.1016/J.JRMGE.2017.10.005
Cascini, L., Calvello, M., and Grimaldi, G. M. (2010). Groundwater Modeling for the Analysis of Active Slow-Moving Landslides. Journal of Geotechnical and Geoenvironmental Engineering, 136(9), 1220–1230. DOI: 10.1061/(ASCE)GT.1943-5606.0000323
Conte, E., and Troncone, A. (2011). Analytical Method for Predicting the Mobility of Slow-Moving Landslides owing to Groundwater Fluctuations. Journal of Geotechnical and Geoenvironmental Engineering, 137(8), 777–784. DOI:10.1061/(ASCE)GT.1943-5606.0000486
Davis, C. S. (2002). Statistical methods for the analysis of repeated measurements (2nd ed.). New York: Springer.
Davison, M. L., and Davenport, E. C. (2002). Identifying criterion-related patterns of predictor scores using multiple regression. Psychological Methods, 7(4), 468–484. Retrieved from http://www.ncbi.nlm.nih.gov/pubmed/12530704
Dulcey-Leal, E., Molina-Gómez, F. A., and Bulla-Cruz, L. A. (2018). Hydraulic conductivity in layered saturated soils assessed through a novel physical model. DYNA, 85(205), 119–124. DOI: 10.15446/dyna.v85n205.64473
Friendly, M. (2010). HE Plots for Repeated Measures Designs. Journal of Statistical Software, 37(4), 1–40. DOI: 10.18637/jss.v037.i04
Gatingon, H. (2013). Statistical Analysis of Management Data (3rd ed.). New York: Springer Science & Business Media.
González de Vallejo, L. I., and Ferrer, M. (2011). Geological Engineering. London: CRC Press/Balkema. DOI: 10.1201/b11745
Habiger, J. D. (2015). Multiple test functions and adjusted p-values for test statistics with discrete distributions. Journal of Statistical Planning and Inference, 167, 1–13. DOI: 10.1016/j.jspi.2015.06.003
Han, J.-C., Huang, Y., Li, Z., Zhao, C., Cheng, G., and Huang, P. (2016). Groundwater level prediction using a SOM-aided stepwise cluster inference model. Journal of Environmental Management, 182, 308–321. DOI: 10.1016/j.jenvman.2016.07.069
Harrar, S. W., and Kong, X. (2016). High-dimensional multivariate repeated measures analysis with unequal covariance matrices. Journal of Multivariate Analysis, 145, 1–21. DOI: 10.1016/j.jmva.2015.11.012
Instituto de Desarrollo Urbano - IDU. (2015a). Estudios geológicos y geotécnicos. Unpublished raw data
Instituto de Desarrollo Urbano - IDU. (2015b). Información Geotécnica PLMB Tramo I. Unpublished raw data
Johnson, R. A., and Wichern, D. W. (2007). Applied Multivariate Statistical Analysis (6th ed.). New Yersey: Pearson Education International.
Kuehl, R. (2000). Design of experiments: statistical principles of research design and analysis (2nd ed.). Pacific Grove (Calif.): Duxbury/Thomson Learning.
Molina-Gómez, F. A., Moreno-Anselmi, L. Á., and Arévalo-Daza, C. E. (2016). Aplicación del análisis de perfiles de medidas repetidas en exploraciones geotécnicas, Paper presented at the XV Congreso Colombiano de Geotecnia (p. 7). Cartagena, Sociedad Colombiana de Geotecnia.
Molina-Gómez, F. A., Camacho-Tauta, J. F., and Reyes-Ortiz, O. J. (2016). Stiffness of a granular base under optimum and saturated water contents. Revista Tecnura, 20(49), 75-85. DOI: 10.14483/udistrital.jour.tecnura.2016.3.a05
Osterberg, J. O. (2004). Geotechnical Engineers, Wake-up—The Soil Exploration Process Needs Drastic Change. In J.P. Turner, and P.W. Mayne (Eds.), GeoSupport 2004: Drilled Shafts, Micropiling, Deep Mixing, Remedial Methods, and Specialty Foundation Systems (pp. 450–459). Reston, VA: American Society of Civil Engineers. DOI: 10.1061/40713(2004)38
Oteo-Mazo, C. (2015). Condiciones geotécnicas del Proyecto de la Línea 1. Bogotá. Unpublished raw data
Ramachandran, K. M., and Tsokos, C. P. (2009). Mathematical statistics with applications. San Diego, CA: Elsevier/Academic Press.
Reddi, L. N., and Wu, T. H. (1991). Probabilistic Analysis of Ground‐Water Levels in Hillside Slopes. Journal of Geotechnical Engineering, 117(6), 872–890. DOI: 10.1061/(ASCE)0733-9410(1991)117:6(872)
Ruge, J. C. (2014). Análise do comportamento de cortina de estacas executada em solo poroso metaestável mediante o uso de um modelo constitutivo hipoplástico considerando a resposta não saturada. (Ph.D. thesis, Universidade de Brasília). Retrieved from: http://repositorio.unb.br/handle/10482/17558?mode=full
Ruge, J. C., Da Cunha, R., Colmenares, J. E., and Mendoza, C. C. (2017). Class A prediction of a retaining structure made by a pile curtain wall executed on a tropical soil. DYNA, 84(202), 278–288. DOI: 10.15446/dyna.v84n202.63965
Secretaría General de la Alcaldía Mayor de Bogotá D.C. (September 16, 2010). Por el cual se adopta la Microzonificación Sísmica de Bogotá D.C. [ Decreto 523 de 2010]. Retrieved from http://www.alcaldiabogota.gov.co/sisjur/normas/Norma1.jsp?i=40984
Soares, M., and Viana da Fonseca, A. (2016). Factors Affecting Steady State Locus in Triaxial Tests. Geotechnical Testing Journal, 39(6), 20150228. DOI: 10.1520/GTJ20150228
Tabachnick, B. G., and Fidell, L. S. (2013). Using multivariate statistics (6th ed.). Boston: Pearson Education.
Timm, N. H. (2004). Applied Multivariate Analysis. New York, NY: Springer New York. DOI: 10.1007/b98963
Tristá, J. G., Sotolongo, G. Q., Cristía, W. C., and Fernández, C. G. (2016). Simulation of the soil-water characteristic curve using laboratory tests and empirical models for Cubans unsaturated soils. Revista de la Construcción., 15(1), 22–31.Retrieved from: http://revistadelaconstruccion.uc.cl/index.php/rdlc/article/view/494/127
Wackerly, D. D., Mendenhall, W., and Scheaffer, R. L. (2008). Mathematical statistics with applications. Belmont, CA: Thomson Brooks/Cole.
Warrick, A. W. (2003). Soil Water Dynamics (1st ed.). New York: Oxford University Press.
Yoon, H., Hyun, Y., Ha, K., Lee, K.-K., and Kim, G.-B. (2016). A method to improve the stability and accuracy of ANN- and SVM-based time series models for long-term groundwater level predictions. Computers & Geosciences, 90, 144–155. DOI: 10.1016/j.cageo.2016.03.002
Zhao, Y., Li, Y., Zhang, L., and Wang, Q. (2016). Groundwater level prediction of landslide based on classification and regression tree. Geodesy and Geodynamics, 7(5), 348–355. DOI: 10.1016/j.geog.2016.07.005
License
Copyright (c) 2019 Fausto Andrés Molina Gómez, Lenin Alexander Bulla-Cruz, Luis Ángel Moreno Anselmi, Juan Carlos Ruge, Carol Arévalo-Daza
This work is licensed under a Creative Commons Attribution 4.0 International License.
The authors or holders of the copyright for each article hereby confer exclusive, limited and free authorization on the Universidad Nacional de Colombia's journal Ingeniería e Investigación concerning the aforementioned article which, once it has been evaluated and approved, will be submitted for publication, in line with the following items:
1. The version which has been corrected according to the evaluators' suggestions will be remitted and it will be made clear whether the aforementioned article is an unedited document regarding which the rights to be authorized are held and total responsibility will be assumed by the authors for the content of the work being submitted to Ingeniería e Investigación, the Universidad Nacional de Colombia and third-parties;
2. The authorization conferred on the journal will come into force from the date on which it is included in the respective volume and issue of Ingeniería e Investigación in the Open Journal Systems and on the journal's main page (https://revistas.unal.edu.co/index.php/ingeinv), as well as in different databases and indices in which the publication is indexed;
3. The authors authorize the Universidad Nacional de Colombia's journal Ingeniería e Investigación to publish the document in whatever required format (printed, digital, electronic or whatsoever known or yet to be discovered form) and authorize Ingeniería e Investigación to include the work in any indices and/or search engines deemed necessary for promoting its diffusion;
4. The authors accept that such authorization is given free of charge and they, therefore, waive any right to receive remuneration from the publication, distribution, public communication and any use whatsoever referred to in the terms of this authorization.
