Preprints
https://doi.org/10.5194/hess-2023-15
https://doi.org/10.5194/hess-2023-15
02 Feb 2023
 | 02 Feb 2023
Status: a revised version of this preprint was accepted for the journal HESS and is expected to appear here in due course.

Data-driven estimates for the geostatistical characterization of subsurface hydraulic properties

Falk Heße, Sebastian Müller, and Sabine Attinger

Abstract. The geostatistical characterization of the subsurface is confronted with the double challenge of large uncertainties and high exploration costs. Making use of all available data sources is consequently very important. Bayesian inference is able to mitigate uncertainties in such a data scarce context by drawing on available background information in form of a prior distribution. To make such a prior distribution transparent and objective, it should be calibrated against a data set containing estimates of the target variable from available sites. In this study, we provide a collection of covariance/variogram functions of the subsurface hydraulic parameters from a large number of sites. We analyze this data set by fitting a number of widely used variogram model functions and show how they can be used to derive prior distributions of the parameters of said functions. In addition, we discuss a number of conclusions that can be drawn for our analysis and possible uses for the data set.

Falk Heße et al.

Status: closed

Comment types: AC – author | RC – referee | CC – community | EC – editor | CEC – chief editor | : Report abuse
  • RC1: 'Comment on hess-2023-15', Anonymous Referee #1, 22 Feb 2023
    • AC3: 'Reply on RC1', Falk Heße, 31 May 2023
  • RC2: 'Comment on hess-2023-15', Anonymous Referee #2, 12 Mar 2023
    • AC2: 'Reply on RC2', Falk Heße, 30 May 2023
  • RC3: 'Comment on hess-2023-15', Shlomo P. Neuman, 14 Mar 2023
    • AC1: 'Reply on RC3', Falk Heße, 30 May 2023

Status: closed

Comment types: AC – author | RC – referee | CC – community | EC – editor | CEC – chief editor | : Report abuse
  • RC1: 'Comment on hess-2023-15', Anonymous Referee #1, 22 Feb 2023
    • AC3: 'Reply on RC1', Falk Heße, 31 May 2023
  • RC2: 'Comment on hess-2023-15', Anonymous Referee #2, 12 Mar 2023
    • AC2: 'Reply on RC2', Falk Heße, 30 May 2023
  • RC3: 'Comment on hess-2023-15', Shlomo P. Neuman, 14 Mar 2023
    • AC1: 'Reply on RC3', Falk Heße, 30 May 2023

Falk Heße et al.

Falk Heße et al.

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Short summary
In this study, we have present two different advances for the field of subsurface geostatistics. First, we present data of variogram functions from a variety of different locations around the world. Second, we present a series of geostatistical analyses aimed at examining some of the statistical properties of such variogram functions and their relationship to a number of widely used variogram model functions.