Chapter
May 14, 2019
Chapter 5

Probability Distributions in Groundwater Hydrology

Publication: Statistical Analysis of Hydrologic Variables: Methods and Applications

Abstract

Groundwater hydrology is a discipline of the earth sciences concerned with the quantitative study of water flow, water storage, chemical transport, and related processes in the subsurface. Groundwater hydrologists measure properties of soils and rocks to gain an understanding of subsurface hydrologic processes and to construct predictive models of groundwater phenomena. This chapter presents several probability density functions (PDFs) commonly used in groundwater hydrology and examples of how PDFs are used to interpret aquifer properties and groundwater variables in a probabilistic manner. It reviews several PDFs commonly used in groundwater hydrology, which are illustrated with examples or data processes that demonstrate the richness of application possibilities in groundwater hydrology. These examples have shown that probabilistic modeling of asymmetric aquifer properties, such as hydraulic conductivity, can be accomplished using the log gamma PDF with a flexibility unmatched by alternative PDFs.

Get full access to this article

View all available purchase options and get full access to this chapter.

References

Benjamin, J. R., and C. A. Cornell. 1970. Probability, statistics, and decisions for civil engineers. New York: McGraw-Hill.
Dagan, G. 1989. Flow and transport in porous formations. Berlin: Springer.
Freeze, R. A. 1975. “A stochastic conceptual analysis of one-dimensional groundwater flow in nonuniform homogeneous media.” Water Resour. Res. 11 (5): 725-741.
Gilbert, R. O. 1987. Statistical methods for environmental pollution monitoring. New York: Van Nostrand Reinhold.
Gradshteyn, I. S., and I. M. Ryzhik. 1994. Tables of integrals, series, and products. 5th ed. San Diego: Academic Press.
Journel, A., and C. Huijbregts. 1978. Mining geostatistics. New York: Academic Press.
Krynine, D. P., and W. R. Judd. 1957. Principle of engineering geology and geotechnics. New York: McGraw-Hill.
Loáiciga, H. A. 2004. “Residence time, groundwater age, and solute output in steady-state groundwater systems.” Adv. Water Resour. 27 (7): 681-688.
Loáiciga, H. A. 2008a. Standard guideline for estimating the effective saturated hydraulic conductivity. ASCE 51-2008. Reston, VA: ASCE.
Loáiciga, H. A. 2008b. Standard guideline for fitting saturated hydraulic conductivity using probability functions. ASCE/EWRI 50-2008. Reston, VA: ASCE.
Loáiciga, H. A. 2010. Standard guideline for the geostatistical estimation and block-averaging of homogeneous and isotropic saturated hydraulic conductivity. ASCE/EWRI 54-10. Reston, VA: ASCE.
Loáiciga, H. A. 2014. “Probability distributions in groundwater hydrology: Methods and applications.” J. Hydrol. Eng. 20 (5): 04014063.
Loáiciga, H. A., and R. B. Leipnik. 2005. “Correlated gamma variables in the analysis of microbial densities in water.” Adv. Water Resour. 28 (4): 329-335.
Loáiciga, H. A., J. Michaelsen, and P. F. Hudak. 1992. “Truncated distribution in hydrologic analysis.” Water Resour. Bull. 28 (5): 853-863.
Loáiciga, H. A., W. W.-G. Yeh, and M. A. Ortega-Guerrero. 2006. “Probability density functions in the analysis of hydraulic conductivity data.” J. Hydrol. Eng. 11 (5): 442-450.
Priestly, M. B. 1989. Spectral analysis and time series. London: Academic Press.
Shumway, R. H., and D. S. Stoffer. 2010. Time series analysis and its applications. 3rd ed. New York: Springer.
USGS (US Geological Survey). 1982. Interagency advisory committee on water data. Bulletin 17B. Reston, VA: USGS.

Information & Authors

Information

Published In

Go to Statistical Analysis of Hydrologic Variables
Statistical Analysis of Hydrologic Variables: Methods and Applications
Pages: 179 - 201

History

Published online: May 14, 2019

Permissions

Request permissions for this article.

ASCE Technical Topics:

Authors

Affiliations

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Chapter
$35.00
Add to cart
Buy E-book
$195.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Chapter
$35.00
Add to cart
Buy E-book
$195.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share