USGS
South Florida Information Access
SOFIA home
Help
Projects
by Title
by Investigator
by Region
by Topic
by Program
Results
Publications
Meetings
South Florida Restoration Science Forum
Synthesis
Information
Personnel
About SOFIA
USGS Science Strategy
DOI Greater Everglades Science Plan
Education
Upcoming Events
Data
Data Exchange
Metadata
publications > water resources investigations > report 87-4034 > estimates of transmissivity, hydraulic conductivity and storage coefficient > tests conducted in this study


Estimates of Transmissivity, Hydraulic Conductivity and Storage Coefficient

Tests Conducted in this Study

Abstract
Introduction
Study Area
Aquifer Framework and Definitions
Transmissivity, Hydraulic Conductivity and Storage Coefficient
- Production Wells
- Previous Aquifer Tests
> Tests this Study
Hydrogeology
Ground-Water Flow System
Summary
References Cited
Most of the field tests for this study were conducted in central or west Broward County where there was little previous data (fig. 11). For various pumping tests, 23 wells were installed: 22 were 6-inch wells (with 6-inch open interval) and 1 was a 5-inch well (with 8-inch open interval). At many sites, separate wells were placed in the upper and lower parts of the Biscayne aquifer. At six western sites, wells were also installed in the gray limestone or in a shell sand of the Tamiami Formation. One pumping test was performed in a deep zone in east Broward County where the only data available in deep zones (below 150 feet) were two specific capacity tests of production wells. All of the production wells have open-hole construction, except for two, which are screened, located at the Twenty-Six Mile Bend site (fig. 11, G-2312). Because the wells were installed using an air-circulation method (no drilling mud), clogging of pore spaces or cavities in the aquifer was minimized. Several small-diameter (1 1/2- or 2-inch) wells were also installed for monitoring water levels, primarily in zones other than the pumped zone and for slug testing. Most of these wells gave oscillatory responses to slug tests, which indicate moderate to high permeability; therefore, those results are used only as a general guide for the permeability framework.

The field tests may be divided into three types: single-well pumping tests using only the pumped wells for observations of response in the production zone, multiple-well pumping tests where a separate observation well in the pumped zone was also motored, and slug tests. The single- well pumping tests included step-drawdown tests, drawdown-recovery tests, and specific capacity tests. By use of a 4-inch suction pump, discharges up to 530 gal/min were obtained. Transmissivities and hydraulic conductivities obtained from the pumping tests and well construction data are listed in table 4.

Step-drawdown tests were run at sites with moderate to high transmissivities. Pumping rates typically were about 160, 260, 370, and 500 gal/min, but for comparatively low transmissivity zones, the pumping rates were reduced as needed. For the lowest transmissivity zones, only specific capacity tests were run at low pumping rates to minimize well losses. The step-drawdown tests were usually run as independent cycles, each cycle consisting of 30 minutes of pumping followed by a recovery period. Whenever recovery was sufficiently slow, the highest discharge step was run for 60 to 100 minutes followed by recovery measurements. The Biscayne aquifer recovered far too quickly, within 1 or 2 minutes, to make satisfactory measurements, but recovery tests were sometimes possible in the gray limestone aquifer, and transmissivity values calculated from recovery data were similar to the step-drawdown test results.

Jacob (1947) expressed drawdown in a pumped well by the relation:

sw = BQ + CQ2   (6)

where

sw is drawdown in pumped well,
BQ is aquifer loss term,
CQ2 is well loss term,
B is constant,
C is constant, and
Q is discharge.

The step drawdown test is a method of evaluating the aquifer loss, B, and well loss, C, constant and assigning relative amount of drawdown (head loss) to the aquifer and to the well. Bierschenk (1963) used a plot of sw /Q versus Q to determine B (the Y-intercept) and C (the slope of the line). Once B is determined, the specific capacity of an ideal well (one that measures only aquifer losses can be calculated from Q/S = 1/B, and a transmissivity can be estimated from this specific capacity. The average constant 270 was used, as before, for the Biscayne aquifer, The multiplier of 300 was used for the gray limestone aquifer, which is semiconfined and has a much narrower range of hydraulic characteristics (small storage coefficient and limited ranges of transmissivity, on the basis of results shown in table 4 and other tests recently completed in Dade County).

graph showing relation between specific drawdown and pumping rate for selected test wells
Figure 12. (above) Relation between specific drawdown (sw/Q) and pumping rate (Q) for selected test wells. [larger image]
graph showing relation between specific capacity and pumping rate for selected test wells
Figure 13. (above) Relation between specific capacity (Q/sw) and pumping rate (Q) for selected test wells. [larger image]
A Bierschenk type of plot for selected wells used in this study is shown in figure 12. This figure illustrates the method, and the six wells selected are representative of the three groups that the data formed. The Biscayne aquifer data are divided into two distinct groups–an upper, less- transmissive zone and a deeper, highly transmissive zone. The data from the gray limestone forms a third group having a different slope than the upper Biscayne zone but having roughly similar B value and transmissivity. Both zones of the Biscayne aquifer occur in central and west Broward County.

The relation between specific capacity and pumping rate for selected wells is shown in figure 13. As in figure 12, the wells may be divided into three groups. In the upper group are wells that tap high transmissivity zones of the Biscayne aquifer at depths generally ranging from 40 to 80 feet. Specific capacities for this group increase rapidly with decreasing pumping rate, and the curvature indicates that well losses are greater than aquifer losses in the drawdown relation (eq. 6) over most of the range of pumping rate. Drawdown at the lowest pumping rates (about 160 gal/min) ranged from 0.16 to 0.30 foot.

A second group of three wells are open to most or all of the gray limestone aquifer at the respective sites. Results from these wells from straight or slightly curved lines at much lower specific capacities. For these wells, aquifer and well losses are more nearly equal for the range of pumping rate shown.

Three shallow wells open to less cavernous limestone and muddy sand in the upper part of the Biscayne aquifer plot in the range similar to wells finished in the gray limestone. The plots for these wells are slightly more curved than those of the gray limestone aquifer. This variation could be caused by different hydraulic effects of flow in cavities, variable effective radius as a function of pumping rate, or by some influence of nearby canals.

Aquifer tests or recovery tests were performed at four sites, of which three had one or more observation wells in the production zone. The observation wells were placed near the pumped wells to minimize the effects of leakage and to obtain measurable drawdowns. A transducer and high- speed chart recorder were used on one of the tests (well G-2312J) to obtain accurate early time water-level measurements during pumping and recovery periods. Data from the aquifer tests were analyzed by a nonleaky semilog drawdown method described by Cooper and Jacob (1946) and the recovery method (Theis, 1935; Todd, 1980, p. 131-135), or by leaky aquifer methods described by Cooper (1963) and Hantush and Jacob (1955). The results, listed in table 4, include storage coefficients that are accurate within about one-half order of magnitude. Examples of recovery tests are shown in figure 14.

An estimate of average horizontal hydraulic conductivity may be calculated from the transmissivities obtained from the tests (table 4) using equation 3. For specific capacity or step-drawdown test, the length of open hole or screen is a reasonable estimate of the thickness of the aquifer that contributes most of the flow to the well, if the aquifer has significantly greater horizontal hydraulic conductivity than vertical hydraulic conductivity (as shown by layering) and if the open interval is relatively long (McClymonds and Franke, 1972, p. E11). For wells having short open intervals (less than about 20 to 25 feet) in the Biscayne aquifer, an estimate of the principal aquifer intervals supplying water to the wells, on the basis of drilling observations, lithologies, and wells in other intervals, was used to calculate the hydraulic conductivity. For the multiwell aquifer tests and the single-well recovery tests, the aquifer thickness (excluding sand beds in permeable limestone) rather than the open interval was used in the calculations.

Slug tests were performed on five small-diameter wells open to sand or semiconfining materials to obtain hydraulic conductivities for some of the less-permeable materials in the surficial aquifer system. For three tests, air pressure was used to displace the water level, and a transducer and high-speed chart recorder were used to monitor water-level recovery (method described by Prosser, 1981). For two tests where water-level responses were slow, a bailer and chalked tape were used. Data from these tests were analyzed by the Hvorslev method (Hvorslev, 1951), which is suitable for water-table conditions (E.P. Weeks, U.S. Geological Survey, oral commun., 1984). Results of these tests are shown in table 5.

Laboratory tests for hydraulic conductivity and porosity were performed on nine rock samples obtained from various zones during normal drilling operations by the dual-tube reverse-air method. (Coring and testing were performed by Core Laboratories, Inc., Dallas Texas.) Horizontal and vertical directions were determined for the samples from bedding features and shape. Horizontally oriented cores of 1-inch diameter were cut to obtain horizontal hydraulic conductivities, Kh, except for one sample which probably was oriented so as to yield a vertical hydraulic conductivity, Kv. Water similar in composition to native ground water was uses for the tests. Porosity was determined using a helium–Boyle's law technique to measure pore volume and then crushing the sample to grain size to measure grain volume. Results of these tests are shown in table 6.

graph showing recovery test plots and analyses for (a) pumped well G-2319X at site G-2319
(a)
graph showing recovery test plots and analyses for (b) observation well G-2338D at site G-2338
(b)
Figure 14. Recovery test plots and analyses for (a) pumped well G-2319X at site G-2319 and (b) observation well G-2338D at site G-2338. "T" is total time elapsed since pumping began and "T" is time since recovery began (end of pumping). [click on images above for larger versions]


Table 4. Aquifer hydraulic properties determined from pumping test in this study

[See figure 11 for location of sites and table 1 for informal site name. USGS, U.S. Geological Survey; SN, sequence, number. Well finish: OH, open hole; S, screen. Geologic formation: Qa, Anastasia Formation; Qf, Fort Thompson Formation; Tt, Tamiami Formation. Type of test: 1, step-drawdown test (Jacob, 1947; Bierschenk, 1963); 2, multiple well aquifer test (Theis, 1935; Cooper and Jacob, 1946; Hantush and Jacob, 1955; Cooper, 1963); 3, specific capacity test (Theis and others, 1954; McClymonds and Franke, 1972); 4, single well (production well) recovery test (Theis, 1935). Inch-pound units: diameter of open interval, in inches; open interval, in feet below land surface; approximate aquifer interval affected by test, in feet below land surface; transmissivity, in square feet per day; approximate average hydraulic conductivity, in feet per day. Remarks: S/C, storage coefficient; S/S, specific storage; GL, gray limestone aquifer.]

USGS well number Site identification number Well finish Diam-
eter
of
open inter-
val
Open interval Approx-
imate aquifer interval affected
by test
Geo-
logic
form-
ation
Type of
test
Trans-
missivity
Approx-
imate average
hydraulic conduc-
tivity
Remarks
Latitude Longitude SN
G-2311A 260335 0802637 03 OH 6 22.5-30 21-32 Qf 1 240,000 22,000 Estimate may be high because of leakage from nearby canal.
G-2311B 260335 0802637 02 OH 6 40-65 36-65 Qf 1 670,000 23,000  
G-2312J 261347 0802737 03 S 6 110-140 106-140 Tt 2,3 22,000 650 S/C S=6x10-5
G-2312K 261347 0802737 04 S 6 40-50 40-62 Tt 3 9,000 300 Partially penetrating well.
G-2313A 261958 0804106 02 OH 6 12-22 12-22 Qf 3 18,000 1,800 Most flow is from interval 17- 22 feet.
G-2313B 261958 0804106 03 OH 6 46-81 46-82 Tt 3 9,000 280 GL, upper part.
G-2313C 261958 0804106 04 OH 6 106-146 106-146 Tt 1 26,000 650 See footnote 1.
G-2313J 255722 0802455 02 OH 6 40-61 40-61 Qf 1 710,000 34,000  
G-2317K 255722 0802455 03 OH 6 20-30 20-33 Qf 1 66,000 5,000 Same as for G-2311A.
G-2319D 260843 0802839 06 OH 6 31-49 31-50 Qf 1 430,000 23,000  
G-2319X 260843 0802839 02 OH 6 118-140 113-156 Tt 4 22,000 590 Thickness of GL is 37 feet; 43-foot aquifer interval includes 6 feet of sand.
G-2320J 260846 0803542 02 OH 6 93-167 83-167 Tt 1 67,000 910 Transmissivity of whole aquifer is about 76,000 square feet per day; GL.
G-2320X 260846 0803542 08 OH 6 30-55 30-59 Qf 1 66,000 2,600 See footnote 2.
G-2321J 260742 0802200 02 OH 6 60-88 51-87 Qf, Tt 1 870,000 24,000 Very high permeability from 65-75 feet, especially in cavities at 70-73 feet.
G-2321K 260742 0802200 03 OH 6 15-24 16-24 Qf 1 260,000 32,000 Same as for G-2311A.
G-2322F 260617 0801612 07 OH 6 69-117 69-117 Qa, Tt 1 600,000 13,000  
G-2330X 260844 0804159 04 OH 6 20-33 21-33 Qf 1 67,000 5,600  
G-2330Y 260844 0804159 03 OH 6 38-48 38-49 Qf 1 860,000 78,000  
G-2330Z 260844 0804159 02 OH 6 81-167 72-167 Tt 1,2,4 88,000 930 S/C S=7x10-5 and S/S Ss= 8x10-7 foot-1; GL.
G-2338B 260532 0805036 03 OH 6 10-33 10-35 Qf, Tt 3 17,000 680  
G-2338C 260532 0805036 04 OH 6 102.5-156 101-157 Tt 2 50,000 890 See footnote 3.
G-2342B 261348 0801220 03 OH 8 170-190 170-190 Tt 3 1,500 75  
1 Overlying semiconfining layer is very leaky; 0.7 foot of drawdown occurred in G-2313B and 0.1 foot of drawdown in G-2313A (both wells 15 feet away); GL, lower part.
2 Pumping another 6-inch diameter well open from 35 to 55 feet indicates even lower transmissivity for Biscayne aquifer at this site.
3 Nearly ideal for Theis assumptions; recovery analysis of pumped well and both straight-line drawdown and recovery analyses of observation wells at radial distances of 29.7 and 100 feet agree very closely on transmissivity; S/C S approximately equal to symbol 1x10-5 and S/S Ss approximately equal to symbol 3x10-7; open and affected intervals are from top of levee about 6 feet above land surface; GL.


Table 5. Hydraulic conductivities determined from slug tests in this study

[See figure 11 for location of sites and table 1 for informal site name. USGS, U.S. Geological Survey; SN, sequence number. Well finish, is screen. Method of analysis, is Hvorslev (1951). Inch-pound units: approximate interval tested, in feet below land surface; hydraulic conductivity, in feet per day. Geologic formation: Qf, Fort Thompson Formation; QP, Pamlico Sand; Tt, Tamiami Formation.]

USGS well number Latitude Longitude SN Approximate interval
tested
Geologic formation Lithology Hydraulic conductivity
G-2327A 255820 0801448 01 23.5-26.5 Qp Fine sand, minor lime mud, moderately sorted. 44
G-2327B 255820 0801448 02 39.5-42.2 Qp Fine sand, minor lime mud, moderately sorted. 27
G-2329A 261014 0805122 02 17-20 Qf Fine sand with lime mud. 16
G-2329B 261014 0805122 03 36-40 Tt Mixed lime mud, shell fragments, quartz sand. .16
G-2338H 260532 0805036 09 68.2-70 Tt Very fine sand, silt and clay. .061


Table 6. Hydraulic conductivities and porosities of samples determined by laboratory tests

[Tests performed by Core Laboratory, Inc., Dallas, Texas. See figure 11 for location of sites and table 1 for informal site name. Inch-pound units: sample depth interval, in feet below land surface; porosity, in percent; hydraulic conductivity, in feet per day. Geologic formation: Th, Hawthorn Formation; Tt, Tamiami Formation. Direction of test: Kh, horizontal hydraulic conductivity; Kv, vertical hydraulic conductivity].

USGS well number Latitude Longitude SN Sample depth interval Geologic formation Lithology Porosity Hydraulic conductivity Direction
of test
G-2320 260846 0803542 01 79-83 Tt Quartz sandstone 37 12 Kh
G-2344 261423 0800715 01 466-469 Th Sandy calcarenite, friable 41 .40 Kv
G-2345 260641 0801235 01 176-179 Tt Limestone 40 5.1 Kh
        179-183 Tt Do. 39 3.3 Kh
        189-193 Tt Do. 38 4.4 Kh
G-2347 260507 0800856 01 359-363 Th Sandy calcarenite, friable 38 3.4 Kh
        399-403 Th Do. 45 .61 Kh
        419-423 Th Do. 47 1.3 Kh
        463-466 Th Do. 48 8.9 Kh


< Previous: Previously Available Aquifer Tests | Next: Hydrogeology >



U.S. Department of the Interior, U.S. Geological Survey, Center for Coastal Geology
This page is: http://sofia.usgs.gov /publications/wri/87-4034/testconducted.html
Comments and suggestions? Contact: Heather Henkel - Webmaster
Last updated: 10 November, 2008 @ 01:12 PM (KP)