A Frequency Domain Analysis of Groundwater Quality Fluctuations: Interpretation of Field Data

Christopher J. Duffy, Lynn W. Gelhar

Research output: Contribution to journalArticle

43 Citations (Scopus)

Abstract

Environmental tracer or pollution patterns in groundwater have been regarded as a qualitative means of studying complex or large‐scale hydrogeologic systems. However, questions have arisen as to whether the “natural state” analog has quantitative value, such as for the estimation of transport or aquifer parameters. In this paper we demonstrate the application of spectral analysis and frequency domain methods to temporal tracer patterns for the physical interpretation of transient environmental tracers in a variety of hydrologic settings. Three case studies are examined where the source of environmental tracer is represented as a stochastic process. Process and parameter estimation is performed by comparison of the theoretical transfer function and phase spectrum. The most important result of this paper is that different source configurations (nonpoint, point, etc.) and different groundwater flow patterns produce unique frequency response characteristics for solutes within each system. It is this feature which allows us to make inference about the governing physical processes and parameters.

Original languageEnglish (US)
Pages (from-to)1115-1128
Number of pages14
JournalWater Resources Research
Volume22
Issue number7
DOIs
StatePublished - Jul 1986

Fingerprint

Frequency domain analysis
Groundwater flow
Random processes
Aquifers
Flow patterns
Parameter estimation
Spectrum analysis
Frequency response
Transfer functions
tracer techniques
Groundwater
Pollution
water quality
tracer
groundwater
stochastic processes
groundwater flow
stochasticity
transfer function
flow pattern

All Science Journal Classification (ASJC) codes

  • Water Science and Technology

Cite this

Duffy, Christopher J. ; Gelhar, Lynn W. / A Frequency Domain Analysis of Groundwater Quality Fluctuations : Interpretation of Field Data. In: Water Resources Research. 1986 ; Vol. 22, No. 7. pp. 1115-1128.
@article{e727c46ad8bf4c2a9e761b42305903d2,
title = "A Frequency Domain Analysis of Groundwater Quality Fluctuations: Interpretation of Field Data",
abstract = "Environmental tracer or pollution patterns in groundwater have been regarded as a qualitative means of studying complex or large‐scale hydrogeologic systems. However, questions have arisen as to whether the “natural state” analog has quantitative value, such as for the estimation of transport or aquifer parameters. In this paper we demonstrate the application of spectral analysis and frequency domain methods to temporal tracer patterns for the physical interpretation of transient environmental tracers in a variety of hydrologic settings. Three case studies are examined where the source of environmental tracer is represented as a stochastic process. Process and parameter estimation is performed by comparison of the theoretical transfer function and phase spectrum. The most important result of this paper is that different source configurations (nonpoint, point, etc.) and different groundwater flow patterns produce unique frequency response characteristics for solutes within each system. It is this feature which allows us to make inference about the governing physical processes and parameters.",
author = "Duffy, {Christopher J.} and Gelhar, {Lynn W.}",
year = "1986",
month = "7",
doi = "10.1029/WR022i007p01115",
language = "English (US)",
volume = "22",
pages = "1115--1128",
journal = "Water Resources Research",
issn = "0043-1397",
publisher = "American Geophysical Union",
number = "7",

}

A Frequency Domain Analysis of Groundwater Quality Fluctuations : Interpretation of Field Data. / Duffy, Christopher J.; Gelhar, Lynn W.

In: Water Resources Research, Vol. 22, No. 7, 07.1986, p. 1115-1128.

Research output: Contribution to journalArticle

TY - JOUR

T1 - A Frequency Domain Analysis of Groundwater Quality Fluctuations

T2 - Interpretation of Field Data

AU - Duffy, Christopher J.

AU - Gelhar, Lynn W.

PY - 1986/7

Y1 - 1986/7

N2 - Environmental tracer or pollution patterns in groundwater have been regarded as a qualitative means of studying complex or large‐scale hydrogeologic systems. However, questions have arisen as to whether the “natural state” analog has quantitative value, such as for the estimation of transport or aquifer parameters. In this paper we demonstrate the application of spectral analysis and frequency domain methods to temporal tracer patterns for the physical interpretation of transient environmental tracers in a variety of hydrologic settings. Three case studies are examined where the source of environmental tracer is represented as a stochastic process. Process and parameter estimation is performed by comparison of the theoretical transfer function and phase spectrum. The most important result of this paper is that different source configurations (nonpoint, point, etc.) and different groundwater flow patterns produce unique frequency response characteristics for solutes within each system. It is this feature which allows us to make inference about the governing physical processes and parameters.

AB - Environmental tracer or pollution patterns in groundwater have been regarded as a qualitative means of studying complex or large‐scale hydrogeologic systems. However, questions have arisen as to whether the “natural state” analog has quantitative value, such as for the estimation of transport or aquifer parameters. In this paper we demonstrate the application of spectral analysis and frequency domain methods to temporal tracer patterns for the physical interpretation of transient environmental tracers in a variety of hydrologic settings. Three case studies are examined where the source of environmental tracer is represented as a stochastic process. Process and parameter estimation is performed by comparison of the theoretical transfer function and phase spectrum. The most important result of this paper is that different source configurations (nonpoint, point, etc.) and different groundwater flow patterns produce unique frequency response characteristics for solutes within each system. It is this feature which allows us to make inference about the governing physical processes and parameters.

UR - http://www.scopus.com/inward/record.url?scp=0022757479&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0022757479&partnerID=8YFLogxK

U2 - 10.1029/WR022i007p01115

DO - 10.1029/WR022i007p01115

M3 - Article

AN - SCOPUS:0022757479

VL - 22

SP - 1115

EP - 1128

JO - Water Resources Research

JF - Water Resources Research

SN - 0043-1397

IS - 7

ER -