ASTM D5855-95(2000)
(Test Method)Standard Test Method for (Analytical Procedure) for Determining Transmissivity and Storage Coefficient of a Confined Nonleaky or Leaky Aquifer by Constant Drawdown Method in a Flowing Well
Standard Test Method for (Analytical Procedure) for Determining Transmissivity and Storage Coefficient of a Confined Nonleaky or Leaky Aquifer by Constant Drawdown Method in a Flowing Well
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 D 5786.
1.3 LimitationsThe 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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Designation: D 5855 – 95 (Reapproved 2000)
Standard Test Method for
(Analytical Procedure) for Determining Transmissivity and
Storage Coefficient of a Confined Nonleaky or Leaky Aquifer
by Constant Drawdown Method in a 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 (e) 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:Symbols and Dimensions:
determiningtransmissivityandstoragecoefficientofaleakyor
2 −1
3.2.1 T—transmissivity [L T ].
nonleakyconfinedaquifer.Itisusedtoanalyzedataontheflow
3.2.2 K —modifiedBesselfunctionofthesecondkind,first
rate from a control well while a constant head is maintained in
order [ nd].
the well.
3.2.3 K — modified Bessel function of the second kind,
1.2 Thisanalyticalprocedureisusedinconjunctionwiththe
zero order [ nd].
field procedure in Practice D5786.
3.2.4 J — Bessel function of the first kind, zero order [nd].
1.3 Limitations—The limitations of this technique for the
3.2.5 Y — Bessel function of the second kind, zero order
determination of hydraulic properties of aquifers are primarily 0
[nd].
related to the correspondence between field situation and the
3.2.6 W(u)—w (well) function of u [nd].
simplifying assumption of the solution.
3.2.7 u—variable of integration [ nd].
1.4 This standard does not purport to address all of the
3.2.8 t—elapsed time test [ T].
safety concerns, if any, associated with its use. It is the
3 −1
3.2.9 Q—discharge rate [L T ].
responsibility of the user of this standard to establish appro-
3.2.10 s —constant drawdown in control well [L].
W
priate safety and health practices and determine the applica-
3.2.11 S—storage coefficient [ nd].
bility of regulatory limitations prior to use.
3.2.12 r —radius of control well.
W
2. Referenced Documents
4. Summary of Test Method
2.1 ASTM Standards:
4.1 This test method describes the analytical procedure for
D653 Terminology Relating to Soil, Rock, and Contained
2 analyzing data collected during a constant drawdown aquifer
Fluids
test. This test method is usually performed on a flowing well.
D4043 Guide for Selection of Aquifer-Test Method in
2 After the well has been shut-in for a period of time, the well is
Determining of Hydraulic Properties by Well Techniques
openedandthedischargerateismeasuredoveraperiodoftime
D4750 Test Method for Determining Subsurface Liquid
after allowing the well to flow. The water level in the control
Levels in a Borehole or Monitoring Well (Observation
wellwhilethewellisflowingistheelevationoftheopeningof
Well)
the control well through which the water is allowed to flow.
D5786 Practice (Field Procedure) for Constant Drawdown
Data are analyzed by plotting the discharge rate versus time.
Tests in Flowing Wells for Determining Hydraulic Prop-
erties of Aquifer Systems
NOTE 1—This test method involves the withdrawal of water from a
control well that is fully screened through the confined aquifer. The
3. Terminology
withdrawalrateisvariedtocausethewaterlevelwithinthewelltoremain
constant.Thefieldprocedureinvolvedinconductingaconstantdrawdown
3.1 Definitions:
test is given in Practice D5786. Methods used to develop a conceptual
model of the site and for initially selecting an analytical procedure are
described in Guide D4043.
ThistestmethodisunderthejurisdictionofASTMCommitteeD18onSoiland
4.2 Leaky Aquifer Solution—The solution is given by Han-
RockandisthedirectresponsibilityofSubcommitteeD18.21onGroundWaterand 4
tush. Transmissivity is calculated as follows:
Vadose Zone Investigations.
Current edition approved Dec. 10, 1995. Published January 1996.
This practice is presently under development in Section D18.21.04 and may be
obtained by contacting the Committee D-18 Staff Manager.
2 4
Annual Book of ASTM Standards, Vol 04.08. Hantush,M.S.,“NonsteadyFlowtoFlowingWellsinLeakyAquifer,” Journal
Annual Book of ASTM Standards, Vol 04.09. of Geophysical Research, Vol 64, No. 8, 1959, pp. 1043–1052.
Copyright © ASTM International, 100 Barr Harbor Drive, PO Box C700, West Conshohocken, PA 19428-2959, United States.
D 5855
5 5
NOTE 2—These are Eq (93) through (97) of Lohman. NOTE 5—These equations are Eqs (71) and (73) of Lohman.
Q 2.30
2 21 2 21
T 5 @L T # (1) T 5 @L T # (10)
2ps G a,r / B!
~
W W 4pD~s /Q!/Dlog ~t/r !
W 10 W
where:
by extrapolating the straight line to s /Q =0 (the point of
W
zero drawdown), storage coefficient is given by:
Tt
a5 nd (2)
@ #
Sr t
W
S 52.25 T nd (11)
@ #
r
W
20.5 2
r /B 5 r T/ K8/b8! L (3)
@ ~ # @ #
W W
NOTE 6—In(Eq10)and(Eq11), Qisincubicfeetperday, tisindays.
and:
5. Significance and Use
r r K ~r /b! r r
W W 1 w W
G 5 1 exp 2a . (4)
F G F GF G F S D G 5.1 Assumptions—Leaky Aquifer:
B B K ~r /b! B
0 W p
5.1.1 Drawdown (s ) in the control well is constant,
W
`
u exp~2au ! du
5.1.2 Well is infinitesimal diameter and fully penetrates
· @nd#
*
2 2 2 2
o
J u 1 Y u u 1 r /B
~ ! ~ ! ~ ! aquifer,
0 0 W
5.1.3 The aquifer is homogeneous, isotropic, and areally
4.2.1 Storage coefficient is given by:
extensive, and
Tt
S 5 nd (5) 5.1.4 The control well is 100% efficient.
@ #
r a
W
5.2 Assumptions—Nonleaky Aquifer:
4.3 Non-Leaky Aquifer:
5.2.1 Drawdown (s ) in the control well is constant,
W
4.3.1 Log-Log—The solution is given by Lohman.
5.2.2 Well is infinitesimal diameter and fully penetrates
aquifer,
NOTE 3—These equations are Eq (66) through (69) of Lohman.
5.2.3 The aquifer is homogeneous, isotropic, and areally
4.3.1.1 Transmissivity is calculated as follows:
extensive,
Q
5.2.4 Discharge from the well is derived exclusively from
2 21
T 5 L T (6)
@ #
2pG~a!s
W storage in the nonleaky aquifer, and
5.2.5 The control well is 100% efficient.
where:
5.3 Implications of Assumptions:
Tt
a5 @nd# (7) 5.3.1 The assumptions are applicable to confined aquifers
Sr
W
and fully penetrating control wells. However, this test method
maybeappliedtopartiallypenetratingwellswherethemethod
and:
may provide an estimate of hydraulic conductivity for the
4a ` 2 p Y ~x! aquifer adjacent to the open interval of the well if the
o
2ax 21
G a 5 xe 1tan dx nd (8)
~ ! @ #
* F S DG
p 2 J ~x! horizontal hydraulic conductivity is significantly greater than
o
o
the vertical hydraulic conductivity.
4.3.1.2 Storage coefficient is given by:
5.3.2 Valuesobtainedforstoragecoefficientarelessreliable
Tt
than the values calculated for transmissivity. Storage coeffi-
S 5 @nd# (9)
ar
W
cient values calculated from control well data are not reliable.
4.3.2 Semi-Log—The solution is given by Jacob and Lo-
6 6. Apparatus
hman.
6.1 Analysis of data from the field procedure (see Practice
NOTE 4—Jacob and Lohman showed that for all but extremely small
D5786) by the methods specified in this procedure requires
values of t, the function of G(a) shown above can be approximated very
that the control well and observation wells meet the specifica-
closely by 2/ W(u). For sufficiently small values of u, W(u) are further
tions given in the apparatus section of Practice D5786.
approximatedby2.30 log 2.25Tt/r S.Theuseofthissemi-logarithmic
10 W
method will produce values of transmissivity that are slightly elevated.
7. Procedure
Examples of this error are shown below:
7.1 Data Collection—Procedures to collect the field data
Estimated
u W (u) Error, %
used by the analytical procedures described in this test method
are given in Practice D5786.
0.25000 1.044283 25
0.00625 4.504198 10 7.2 Data Calculation and Interpretation—Perform the pro-
0.000833 6.513694 5
cedures for calculation and interpretation of test data as given
1.25E-05 10.71258 2
in Section 8.
4.3.2.1 Transmissivity is calculated as follows:
7.3 Report—Prepare a report as given in Section 9.
8. Calculation and Interpretation of Results
Lohman, S. W., “Ground-Water Hydraulics,” Professional Paper 708, U.S.
8.1 Leaky Aquifer Solution:
Geological Survey, 1972.
8.1.1 (Eq 4) cannot be integrated directly but has been
Jacob, C. E. and Lohman, S.
...
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