Standard Test Method for Specific Heat of Rock and Soil

SCOPE
1.1 This test method covers the determination of instantaneous and mean specific heat of rock and soil.
1.2 This test method employs the classical method of mixtures. This provides procedures and apparatus simpler than those generally used in scientific calorimetry, an accuracy that is adequate for most rocks and soils, and a degree of precision that is reproducible by laboratory technicians of average skill. While this test method was developed for testing rock and soil, it is easily adaptable to measuring the specific heat of other materials.
1.3 The testing procedure provides an instantaneous specific heat over the temperature 25 to 300oC or a mean specific heat in that temperature range.
1.4 The test procedure is limited to dry samples.
1.5 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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Publication Date
31-Dec-1999
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ASTM D4611-86(2000) - Standard Test Method for Specific Heat of Rock and Soil
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NOTICE: This standard has either been superseded and replaced by a new version or withdrawn.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: D 4611 – 86 (Reapproved 2000)
Standard Test Method for
Specific Heat of Rock and Soil
This standard is issued under the fixed designation D 4611; the number immediately following the designation indicates the year of
original adoption or, in the case of revision, the year of last revision. A number 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. Terminology
1.1 This test method covers the determination of instanta- 3.1 Definitions:
neous and mean specific heat of rock and soil. 3.1.1 instantaneous specific heat—the rate of change of
1.2 This test method employs the classical method of sample enthalpy, h, per unit mass with respect to temperature,
mixtures. This provides procedures and apparatus simpler than T, at constant pressure, p,
those generally used in scientific calorimetry, an accuracy that
c 5 ~dh/dT!
p p
is adequate for most rocks and soils, and a degree of precision
(1)
that is reproducible by laboratory technicians of average skill.
3.1.2 mean specific heat—the quantity of heat required to
While this test method was developed for testing rock and soil,
change the temperature of a unit mass of a substance one
it is easily adaptable to measuring the specific heat of other
degree, measured as the average quantity over the temperature
materials.
range specified. (It is distinguished from true specific heat by
1.3 Thetestingprocedureprovidesaninstantaneousspecific
being an average rather than a point value. The unit of
heat over the temperature 25 to 300°C or a mean specific heat
measurement is joule per kilogram Kélvin, J/kgK).
in that temperature range.
3.1.3 thermal capacity—the amount of heat necessary to
1.4 The test procedure is limited to dry samples.
change the temperature of the body one degree. For a homo-
1.5 This standard does not purport to address all of the
geneous body, it is the product of mass and specific heat. For
safety concerns, if any, associated with its use. It is the
a nonhomogeneous body, it is the sum of the products of mass
responsibility of the user of this standard to establish appro-
and specific heat of the individual constituents. Thermal
priate safety and health practices and determine the applica-
capacity has the units of joule per Kelvin, J/K.
bility of regulatory limitations prior to use.
3.1.4 thermal diffusivity—the ratio of thermal conductivity
of a substance to the product of its density and specific heat.
2. Referenced Documents
Common unit for this property is m /s.
2.1 ASTM Standards:
3.2 Symbols:
C 303 Test Method for Density of Preformed Block-Type
3.2.1 DH—enthalpy change (J/kg).
Thermal Insulation
3.2.2 mc — thermal capacity (J/K).
p
C 351 Test Method for Mean Specific Heat of Thermal
3.2.3 T — final temperature of the mixture obtained by
2 m
Insulation
extrapolation (K).
D 618 Practice for Conditioning Plastics and Electrical
3.2.4 T — temperature of the calorimeter immediately prior
3 c
Insulating Materials for Testing
to drop obtained by extrapolation.
D 2766 Test Method for Specific Heat of Liquids and
3.2.5 T — temperature of capsule and sample, capsule or
4 h
Solids
standard in the heater prior to drop (K).
E 230 Temperature-Electromotive Force (EMF) Tables for
3.2.6 DT—temperature difference.
Thermocouples
3.2.7 c¯ —mean specific heat (J/kgK).
p
E 344 Terminology Relating to Thermometry and Hydrom-
3.2.8 c — instantaneous specific heat (J/kgK).
5 p
etry
4. Summary of Test Method
1 4.1 The method of mixtures consists essentially of adding a
ThistestmethodisunderthejurisdictionofASTMCommitteeD18onSoiland
known mass of material at a known temperature to a known
Rock and is the direct responsibility of Subcommittee D18.12 on Rock Mechanics.
Current edition approved Sept. 26, 1986. Published November 1986.
mass of calorimetric fluid at a known lower temperature and
Annual Book of ASTM Standards, Vol 04.06.
determining the equilibrium temperature that results. The heat
Annual Book of ASTM Standards, Vols 08.01, 10.01.
absorbed by the fluid and containing vessel can be calculated
Annual Book of ASTM Standards, Vol 05.02.
Annual Book of ASTM Standards, Vol 14.03. from calibrations and this value equated to the expression for
Copyright © ASTM International, 100 Barr Harbor Drive, PO Box C700, West Conshohocken, PA 19428-2959, United States.
D 4611
the heat given up by the hot material. From this equation, the
unknown specific heat can be calculated. If only one drop from
a single temperature is performed, then only the mean specific
heat can be calculated. If several drops are performed, the
instantaneous specific heat can be calculated.
5. Significance and Use
5.1 Specific heat is a basic thermodynamic property of all
substances. The value of specific heat depends upon chemical
compositionandtemperature.Therateoftemperaturediffusion
through a material, thermal diffusivity, is a function of specific
heat; therefore, specific heat is an essential property of rock
and soil when these materials are used under conditions of
unsteady or transient heat flow.
6. Apparatus
6.1 Calorimeter and Accessories—The calorimeter shall be
an unlagged Dewar flask.The capacity of the Dewar flask shall
be such as to yielda1to5K temperature rise of the receiver
fluid with average sample size used during testing (Note 1).
The flask shall have an insulated cover or stopper. Other
FIG. 1 Specific Ileal Calorimeter
accessories shall include a magnetic stirrer equipped with a
speed regulating device.
heater unit shall be provided. It is desirable to measure the
NOTE 1—Typical volumes are approximately 500 to 750 mL with rock sample temperature inside the container; however, measuring
or soil samples of 50 g in thin wall stainless steel containers.
of the outside of the container is permitted. Typically, a
thermocouple calibrated to the special limits of error specified
6.2 Calorimeter Temperature-Sensing Device—A
in EMF Tables E 230 is used for sample temperature readout.
temperature-sensing device capable of 0.0025 K resolution and
The temperature shall be measured to 61 % of the test
covering a minimum of 5 K range shall be used.
temperature.
NOTE 2—A suitable temperature sensor is a multijunction thermopile
6.7 Test Room—The room temperature in which the tests
typically referenced to an ice bath.
are conducted shall be maintained at 23 6 2°C.
6.3 Calorimeter Fluid—The calorimeter fluid should be a
6.8 Calibration Standards—Aminimumofthreecalibration
high specific heat fluid, stable to 250 to 300°C and having a
standards are required. The standards must be traceable to the
low vapor pressure. Silicone based fluids are frequently used.
U.S. National Bureau of Standards (NBS) or other recognized
6.4 Heater—The heater shall be designed to provide a
standard.
uniform heating zone. A maximum variation of 61%ofthe
7. Test Specimen
mean heater temperature along the heater length corresponding
to the sample is permitted.
7.1 Form—In order to increase the accuracy of this test
method, the sample mass should be maximized for a given
NOTE 3—Typically, open-end radiation type heaters similar to the
capsule volume. This usually means, for dense rocks, that the
cylindrical device shown in Fig. 1 are used. Such heaters are usually
heated by electricity; however, other means of heating are acceptable as sample should be machined to fit the container tightly. How-
long as the requirements for the heater can be met. The relative
ever, crushed rocks in powder form or soils can be tested with
dimensions of the heater and capsule shall be such that the specimen will
a decrease in accuracy due to the lower contribution of the
be heated to a uniform and constant temperature as required. The heater
sample to the total measured heat capacity of the sample/
should be provided with an insulated removable cover designed to permit
container combination. Porous rocks are usually tested in
passage of sample capsule temperature sensing devices and suspension
powder form.
wire. The bottom should be closed with a removable insulated cover to
7.2 Sample Size and Number of Samples—Thesampleshall
permit free dropping of the capsule. Typically, the heater assembly is
mounted so it can be swung quickly into place over the calorimeter be representative of the type of rock or soil tested. In cases
immediately prior to drop and swung away after the sample has been
where inhomogeneity is a problem, multiple samples of the
dropped.
same rock or soil shall be tested. In case of doubt, multiple
6.5 Capsule—The capsule shall be of the hermetically samples shall be used.
sealed type. The capsule’s heat capacity should be minimized 7.3 Sample Machining—Samples shall be machined in such
and in no instance should be greater than the heat capacity
...

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