STATISTICAL APPROACH TO THE INVERSE PROBLEM OF AQUIFER HYDROLOGY - 1. THEORY.

Shlomo P Neuman, Sidney Yakowitz

Research output: Contribution to journalArticle

162 Citations (Scopus)

Abstract

A new statistically based approach to the problem of estimating spatially varying aquifer transmissivities on the basis of steady state water level data is presented. The method involves solving a family of generalized nonlinear regression problems and then selecting one particular solution from this family by means of a comparative analysis of residuals. A linearized error analysis of the solution is included. This analysis allows one to estimate the convariance of the transmissivity estimates as well as the square error of the estimates of hydraulic head. An efficient explicit numerical scheme for solving the inverse problem in an approximate manner when errors in water level data are sufficiently small is also described.

Original languageEnglish (US)
Pages (from-to)845-860
Number of pages16
JournalWater Resources Research
Volume15
Issue number4
StatePublished - Aug 1979
Externally publishedYes

Fingerprint

Hydrology
transmissivity
inverse problem
Water levels
Inverse problems
Aquifers
hydrology
aquifers
surface water level
water level
aquifer
hydraulic head
error analysis
Error analysis
fluid mechanics
Hydraulics
family
analysis
methodology
method

ASJC Scopus subject areas

  • Aquatic Science
  • Environmental Science(all)
  • Environmental Chemistry
  • Water Science and Technology

Cite this

STATISTICAL APPROACH TO THE INVERSE PROBLEM OF AQUIFER HYDROLOGY - 1. THEORY. / Neuman, Shlomo P; Yakowitz, Sidney.

In: Water Resources Research, Vol. 15, No. 4, 08.1979, p. 845-860.

Research output: Contribution to journalArticle

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