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Estimation of aquifer lower layer hydraulic conductivity values through base flow hydrograph rising limb analysis

Valentijn Pauwels UGent and Peter A Troch (2010) WATER RESOURCES RESEARCH. 46.
abstract
The estimation of catchment-averaged aquifer hydraulic conductivity values is usually performed through a base flow recession analysis. Relationships between the first time derivatives of the base flow and the base flow values themselves, derived for small and large values of time, are used for this purpose. However, in the derivation of the short-time equations, an initially fully saturated aquifer without recharge with sudden drawdown is assumed, which occurs very rarely in reality. It is demonstrated that this approach leads to a nonnegligible error in the parameter estimates. A new relationship is derived, valid for the rising limb of a base flow hydrograph, succeeding a long rainless period. Application of this equation leads to accurate estimates of the aquifer lower layer saturated hydraulic conductivity. Further, it has been shown analytically that, if base flow is modeled using the linearized Boussinesq equation, the base flow depends on the effective aquifer depth and the ratio of the saturated hydraulic conductivity to the drainable porosity, not on these three parameters separately. The results of the new short-time expression are consistent with this finding, as opposed to the use of a traditional base flow recession analysis. When base flow is modeled using the nonlinear Boussinesq equation, the new expression can be used, without a second equation for large values of time, to estimate the aquifer lower layer hydraulic conductivity. Overall, the results in this paper suggest that the new methodology outperforms a traditional recession analysis for the estimation of catchment-averaged aquifer hydraulic conductivities.
Please use this url to cite or link to this publication:
author
organization
year
type
journalArticle (original)
publication status
published
subject
keyword
EQUATION, WATER, VARIABLE SOURCE AREAS, STORAGE BOUSSINESQ MODEL, ART. NO. 1297, SUBSURFACE FLOW, GROUNDWATER OUTFLOW, COMPLEX HILLSLOPES, UNIT RESPONSE, INFORMATION
journal title
WATER RESOURCES RESEARCH
Water Resour. Res.
volume
46
article_number
W03501
pages
19 pages
Web of Science type
Article
Web of Science id
000275321700003
JCR category
WATER RESOURCES
JCR impact factor
2.737 (2010)
JCR rank
2/75 (2010)
JCR quartile
1 (2010)
ISSN
0043-1397
DOI
10.1029/2009WR008255
language
English
UGent publication?
yes
classification
A1
copyright statement
I have transferred the copyright for this publication to the publisher
id
909503
handle
http://hdl.handle.net/1854/LU-909503
date created
2010-03-19 07:18:13
date last changed
2010-10-01 00:30:13
@article{909503,
  abstract     = {The estimation of catchment-averaged aquifer hydraulic conductivity values is usually performed through a base flow recession analysis. Relationships between the first time derivatives of the base flow and the base flow values themselves, derived for small and large values of time, are used for this purpose. However, in the derivation of the short-time equations, an initially fully saturated aquifer without recharge with sudden drawdown is assumed, which occurs very rarely in reality. It is demonstrated that this approach leads to a nonnegligible error in the parameter estimates. A new relationship is derived, valid for the rising limb of a base flow hydrograph, succeeding a long rainless period. Application of this equation leads to accurate estimates of the aquifer lower layer saturated hydraulic conductivity. Further, it has been shown analytically that, if base flow is modeled using the linearized Boussinesq equation, the base flow depends on the effective aquifer depth and the ratio of the saturated hydraulic conductivity to the drainable porosity, not on these three parameters separately. The results of the new short-time expression are consistent with this finding, as opposed to the use of a traditional base flow recession analysis. When base flow is modeled using the nonlinear Boussinesq equation, the new expression can be used, without a second equation for large values of time, to estimate the aquifer lower layer hydraulic conductivity. Overall, the results in this paper suggest that the new methodology outperforms a traditional recession analysis for the estimation of catchment-averaged aquifer hydraulic conductivities.},
  articleno    = {W03501},
  author       = {Pauwels, Valentijn and Troch, Peter A},
  issn         = {0043-1397},
  journal      = {WATER RESOURCES RESEARCH},
  keyword      = {EQUATION,WATER,VARIABLE SOURCE AREAS,STORAGE BOUSSINESQ MODEL,ART. NO. 1297,SUBSURFACE FLOW,GROUNDWATER OUTFLOW,COMPLEX HILLSLOPES,UNIT RESPONSE,INFORMATION},
  language     = {eng},
  pages        = {19},
  title        = {Estimation of aquifer lower layer hydraulic conductivity values through base flow hydrograph rising limb analysis},
  url          = {http://dx.doi.org/10.1029/2009WR008255},
  volume       = {46},
  year         = {2010},
}

Chicago
Pauwels, Valentijn, and Peter A Troch. 2010. “Estimation of Aquifer Lower Layer Hydraulic Conductivity Values Through Base Flow Hydrograph Rising Limb Analysis.” Water Resources Research 46.
APA
Pauwels, V., & Troch, P. A. (2010). Estimation of aquifer lower layer hydraulic conductivity values through base flow hydrograph rising limb analysis. WATER RESOURCES RESEARCH, 46.
Vancouver
1.
Pauwels V, Troch PA. Estimation of aquifer lower layer hydraulic conductivity values through base flow hydrograph rising limb analysis. WATER RESOURCES RESEARCH. 2010;46.
MLA
Pauwels, Valentijn, and Peter A Troch. “Estimation of Aquifer Lower Layer Hydraulic Conductivity Values Through Base Flow Hydrograph Rising Limb Analysis.” WATER RESOURCES RESEARCH 46 (2010): n. pag. Print.