Kriging of Groundwater Levels – A Case Study

In this paper, application of the spatial statistical technique, kriging, for the spatial analysis of groundwater levels is shown. The data set consists of groundwater levels measured at about 60 points (the number of points vary from year to year) twice in a year (June and September) for six years (1985-1990) in an area of 2100 sq km in part of the canal command area of Indira Gandhi Nahar Pariyojana (IGNP) in Rajasthan, India. With the use of measured elevations of the water table, experimental semivariograms were constructed that characterises the spatial variability of the measured groundwater levels. Spherical, exponential and gaussian semivariogram models were fitted to the experimental semivariograms. The finally selected models were used to estimate the groundwater levels and estimation variance (which express the accuracy of the estimated groundwater levels) at the nodes of a square grid of 5km x 5km and to develop corresponding contour maps. Groundwater levels were also interpolated by generally used Inverse Square Distance (ISD) method and it was found that ISD method resulted in higher errors as compared to kriging method. The kriged groundwater table maps were compared with the groundwater table maps prepared using the ISD method.

[1]  Donald H. Burn,et al.  Probabilistic forecasting of hydrological events using geostatistical analysis / Prévision probabiliste d'événements hydrologiques par analyse géostatistique , 2005 .

[2]  Urs Germann,et al.  Variograms of Radar Reflectivity to Describe the Spatial Continuity of Alpine Precipitation , 2001 .

[3]  Kenneth G. Hubbard,et al.  Determination of Semivariogram Models to Krige Hourly and Daily Solar Irradiance in Western Nebraska , 2001 .

[4]  R. Berndtsson,et al.  Variability of soil water content along a transect in a desert area , 1994 .

[5]  Jens Christian Refsgaard,et al.  Estimation of Catchment Rainfall Uncertainty and its Influence on Runoff Prediction , 1988 .

[6]  N. T. Kottegoda,et al.  A brief review of kriging and its application to optimal interpolation and observation well selection , 1984 .

[7]  Miguel A. Mariño,et al.  Kriging of water levels in the Souss aquifer, Morocco , 1983 .

[8]  C. Obled,et al.  Objective analyses and mapping techniques for rainfall fields: An objective comparison , 1982 .

[9]  J. W. Biggar,et al.  Spatial Variability of Field-Measured Infiltration Rate1 , 1981 .

[10]  J. Delhomme Kriging in the hydrosciences , 1978 .

[11]  Shakeel Ahmed,et al.  Seasonal behaviour of spatial variability of groundwater level in a granitic aquifer in monsoon climate , 2003 .

[12]  Zekai Zen,et al.  Geostatistical analysis and visualization of hourly ozone data , 1996 .

[13]  Alwyn E. Annels,et al.  Geostatistical Ore-reserve Estimation , 1991 .

[14]  Asce Hydraulics Division Review of geostatistics in geohydrology. I: Basic concepts. , 1990 .

[15]  Asce Hydraulics Division Review of geostatistics in geohydrology II. Applications. , 1990 .

[16]  G. Marsily,et al.  Co-Kriged Estimates of Transmissivities Using Jointly Water Level Data , 1989 .

[17]  Richard A. Bilonick,et al.  Monthly hydrogen ion deposition maps for the northeastern U.S. from July 1982 to September 1984 , 1988 .

[18]  G. Marsily,et al.  Application of Kriging Techniques in Groundwater Hydrology , 1987 .