Standard Test Method for (Analytical Procedure) for Determining Transmissivity and Storage Coefficient of Confined Nonleaky or Leaky Aquifer by Constant Drawdown Method in Flowing Well

SIGNIFICANCE AND USE
AssumptionsLeaky Aquifer:  
Drawdown (sW) in the control well is constant,
Well is infinitesimal diameter and fully penetrates aquifer,
The aquifer is homogeneous, isotropic, and areally extensive, and
The control well is 100 % efficient.
AssumptionsNonleaky Aquifer:  
Drawdown (sW) in the control well is constant,
Well is infinitesimal diameter and fully penetrates aquifer,
The aquifer is homogeneous, isotropic, and areally extensive,
Discharge from the well is derived exclusively from storage in the nonleaky aquifer, and
The control well is 100 % efficient.
Implications of Assumptions:  
The assumptions are applicable to confined aquifers and fully penetrating control wells. However, this test method may be applied to partially penetrating wells where the method may provide an estimate of hydraulic conductivity for the aquifer adjacent to the open interval of the well if the horizontal hydraulic conductivity is significantly greater than the vertical hydraulic conductivity.
Values obtained for storage coefficient are less reliable than the values calculated for transmissivity. Storage coefficient values calculated from control well data are not reliable.
SCOPE
1.1 This test method covers an analytical solution for determining transmissivity and storage coefficient of a leaky or nonleaky confined aquifer. It is used to analyze data on the flow rate from a control well while a constant head is maintained in the well.
1.2 This analytical procedure is used in conjunction with the field procedure in Practice D5786.  
1.3 Limitations—The limitations of this technique for the determination of hydraulic properties of aquifers are primarily related to the correspondence between field situation and the simplifying assumption of the solution.
1.4 This standard does not purport to address all of the safety concerns, if any, associated with its use. It is the responsibility of the user of this standard to establish appropriate safety and health practices and determine the applicability of regulatory limitations prior to use.

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ASTM D5855-95(2006) - Standard Test Method for (Analytical Procedure) for Determining Transmissivity and Storage Coefficient of Confined Nonleaky or Leaky Aquifer by Constant Drawdown Method in Flowing Well
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NOTICE: This standard has either been superseded and replaced by a new version or withdrawn.
Contact ASTM International (www.astm.org) for the latest information
Designation:D5855 −95(Reapproved 2006)
Standard Test Method for
(Analytical Procedure) for Determining Transmissivity and
Storage Coefficient of Confined Nonleaky or Leaky Aquifer
by Constant Drawdown Method in Flowing Well
This standard is issued under the fixed designation D5855; the number immediately following the designation indicates the year of
original adoption or, in the case of revision, the year of last revision.Anumber in parentheses indicates the year of last reapproval.A
superscript epsilon (´) indicates an editorial change since the last revision or reapproval.
1. Scope 3.1.1 For definitions of terms used in this test method see
Terminology D653.
1.1 This test method covers an analytical solution for
3.2 Symbols and Dimensions:
determiningtransmissivityandstoragecoefficientofaleakyor
2 −1
3.2.1 T—transmissivity [L T ].
nonleakyconfinedaquifer.Itisusedtoanalyzedataontheflow
rate from a control well while a constant head is maintained in
3.2.2 K —modifiedBesselfunctionofthesecondkind,first
the well.
order [nd].
1.2 Thisanalyticalprocedureisusedinconjunctionwiththe
3.2.3 K — modified Bessel function of the second kind,
field procedure in Practice D5786.
zero order [nd].
1.3 Limitations—The limitations of this technique for the
3.2.4 J — Bessel function of the first kind, zero order [nd].
determination of hydraulic properties of aquifers are primarily
related to the correspondence between field situation and the 3.2.5 Y — Bessel function of the second kind, zero order
simplifying assumption of the solution.
[nd].
1.4 This standard does not purport to address all of the
3.2.6 W(u)—w (well) function of u [nd].
safety concerns, if any, associated with its use. It is the
3.2.7 u—variable of integration [nd].
responsibility of the user of this standard to establish appro-
priate safety and health practices and determine the applica-
3.2.8 t—elapsed time test [ T].
bility of regulatory limitations prior to use.
3 −1
3.2.9 Q—discharge rate [L T ].
2. Referenced Documents
3.2.10 s —constant drawdown in control well [L].
W
2.1 ASTM Standards:
3.2.11 S—storage coefficient [nd].
D653Terminology Relating to Soil, Rock, and Contained
3.2.12 r —radius of control well.
W
Fluids
D4043Guide for Selection of Aquifer Test Method in
4. Summary of Test Method
Determining Hydraulic Properties by Well Techniques
D5786Practice for (Field Procedure) for Constant Draw-
4.1 This test method describes the analytical procedure for
down Tests in Flowing Wells for Determining Hydraulic
analyzing data collected during a constant drawdown aquifer
Properties of Aquifer Systems
test. This test method is usually performed on a flowing well.
After the well has been shut-in for a period of time, the well is
3. Terminology
openedandthedischargerateismeasuredoveraperiodoftime
3.1 Definitions:
after allowing the well to flow. The water level in the control
wellwhilethewellisflowingistheelevationoftheopeningof
the control well through which the water is allowed to flow.
ThistestmethodisunderthejurisdictionofASTMCommitteeD18onSoiland
Data are analyzed by plotting the discharge rate versus time.
Rock and is the direct responsibility of Subcommittee D18.21 on Groundwater and
Vadose Zone Investigations.
NOTE 1—This test method involves the withdrawal of water from a
Current edition approved Sept. 15, 2006. Published January 2007. Originally
control well that is fully screened through the confined aquifer. The
approved in 1995. Last previous edition approved in 2000 as D5855–95 (2000).
withdrawalrateisvariedtocausethewaterlevelwithinthewelltoremain
DOI: 10.1520/D5855-95R06.
2 constant.Thefieldprocedureinvolvedinconductingaconstantdrawdown
For referenced ASTM standards, visit the ASTM website, www.astm.org, or
test is given in Practice D5786. Methods used to develop a conceptual
contact ASTM Customer Service at service@astm.org. For Annual Book of ASTM
Standards volume information, refer to the standard’s Document Summary page on model of the site and for initially selecting an analytical procedure are
the ASTM website. described in Guide D4043.
Copyright © ASTM International, 100 Barr Harbor Drive, PO Box C700, West Conshohocken, PA 19428-2959. United States
D5855−95 (2006)
4.2 Leaky Aquifer Solution—The solution is given by Han-
Estimated
u W(u) Error, %
tush. Transmissivity is calculated as follows:
0.25000 1.044283 25
NOTE 2—These are Eq (93) through (97) of Lohman.
0.00625 4.504198 10
Q
0.000833 6.513694 5
2 21
T 5 @L T # (1)
1.25E-05 10.71258 2
2πs G~α,r /B!
W W
4.3.2.1 Transmissivity is calculated as follows:
where:
NOTE 5—These equations are Eqs (71) and (73) of Lohman.
Tt
α 5 nd (2)
@ #
2.30
Sr
W
2 21
T 5 @L T # (10)
4π∆~s /Q!/∆log ~t/r !
W 10 W
20.5 2
r /B 5 r @T/ K`/b` # @L # (3)
~ !
W W
by extrapolating the straight line to s /Q =0 (the point of
W
zero drawdown), storage coefficient is given by:
and:
2 t
r r K ~r /b! r r
W W 1 w W
S 5 2.25 T nd (11)
@ #
G 5 1 exp 2α . (4)
F G F GF G 2 F S D G r
W
B B K r /b π B
~ !
0 W
NOTE 6—In (Eq 10) and (Eq 11), Q is in cubic feet per day, t is in days.
` uexp 2αu du
~ !
· @nd#
*
2 2 2 2
5. Significance and Use
ο
J ~u!1Y ~u! u 1 ~r /B!
0 0 W
5.1 Assumptions—Leaky Aquifer:
4.2.1 Storage coefficient is given by:
5.1.1 Drawdown (s ) in the control well is constant,
W
Tt
5.1.2 Well is infinitesimal diameter and fully penetrates
S 5 nd (5)
@ #
r α
W
aquifer,
4.3 Non-Leaky Aquifer:
5.1.3 The aquifer is homogeneous, isotropic, and areally
4.3.1 Log-Log—The solution is given by Lohman. extensive, and
5.1.4 The control well is 100% efficient.
NOTE 3—These equations are Eq (66) through (69) of Lohman.
5.2 Assumptions—Nonleaky Aquifer:
4.3.1.1 Transmissivity is calculated as follows:
5.2.1 Drawdown (s ) in the control well is constant,
W
Q
2 21 5.2.2 Well is infinitesimal diameter and fully penetrates
T 5 @L T # (6)
2πG~α!s
W
aquifer,
5.2.3 The aquifer is homogeneous, isotropic, and areally
where:
extensive,
Tt
5.2.4 Discharge from the well is derived exclusively from
α 5 nd (7)
@ #
Sr
W
storage in the nonleaky aquifer, and
5.2.5 The control well is 100% efficient.
and:
5.3 Implications of Assumptions:
4α ` π Y x
2 ~ !
o
5.3.1 The assumptions are applicable to confined aquifers
2αx 21
G ~a! 5 xe 1 tan dx @nd# (8)
* F S DG
ο
π 2 J ~x!
o and fully penetrating control wells. However, this test method
maybeappliedtopartiallypenetratingwellswherethemethod
4.3.1.2 Storage coefficient is given by:
may provide an estimate of hydraulic conductivity for the
Tt
aquifer adjacent to the open interval of the well if the
S 5 nd (9)
@ #
αr
W
horizontal hydraulic conductivity is significantly greater than
the vertical hydraulic conductivity.
4.3.2 Semi-Log—The solution is given by Jacob and
5.3.2 Valuesobtainedforstoragecoefficientarelessreliable
Lohman.
than the values calculated for transmissivity. Storage coeffi-
NOTE 4—Jacob and Lohman showed that for all but extremely small
cient values calculated from control well data are not reliable.
values of t, the function of G(a) shown above can be approximated very
closely by 2/ W(u). For sufficiently small values of u, W(u) are further
6. Apparatus
approximated by 2.30 log 2.25Tt/r S.The use of this semi-logarithmic
10 W
method will produce values of transmissivity that are slightly elevated.
6.1 Analysis of data from the field procedure (see Practice
Examples of this error are shown below:
D5786)bythemethodsspecifiedinthisprocedurerequiresthat
the control well and observation wells meet the specifications
given in the apparatus section of Practice D5786.
Hantush,M.S.,“NonsteadyFlowtoFlowingWellsinLeakyAquifer,” Journal
of Geophysical Research, Vol 64, No. 8, 1959, pp. 1043–1052.
4 7. Procedure
Lohman, S. W., “Ground-Water Hydraulics,” Professional Paper 708, U.S.
Geological Survey, 1972.
7.1 Data Collection—Procedures to collect the field data
Jacob, C. E. and Lohman, S. W., “Nonsteady Flow to a Well of Constant
used by the analytical procedures described in this test method
Drawdown in an Extensive Aquifer,” American Geophysical Union Transactions,
Vol 33, No. 4, 1952, pp. 552–569. are given in Practice D5786.
D5855−95 (2006)
7.2 Data Calculation and Interpretation—Perform the pro-
cedures for calculation and interpretation of test data as given
in Section 8.
7.3 Rep
...

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