Soil Science Society of America Journal 66:44-52 (2002)
© 2002 Soil Science Society of America
DIVISION S-1 - SOIL PHYSICS
Temperature Dependence of Water Retention Curves for Wettable and Water-Repellent Soils
J. Bachmanna,
R. Horton*,b,
S. A. Grantc and
R. R. van der Ploega
a Institute of Soil Science, Univ. of Hannover, Herrenhaeuser Str. 2, 30419, Hannover, Germany
b Dep. of Agronomy, Iowa State Univ., Ames, IA 50011
c U.S. Army Cold Regions Research and Engineering Lab., 72 Lyme Rd., Hanover, NH 03755
* Corresponding author (rhorton{at}iastate.edu)
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ABSTRACT
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The capillary pressure (
) in unsaturated porous media is known to be a function of temperature (T). Temperature affects the surface tension (
) of the pore water, but possibly also the angle of contact (
). Because information on the temperature dependence of
in porous media is rare, we conducted experiments with three wettable soils and their hydrophobic counterparts. The objectives were (i) to determine the temperature dependence of the water retention curve (WRC) for wettable and water-repellent soils, (ii) to assess temperature effects on the apparent contact angle
A derived from those WRCs, and (iii) to evaluate two models (Philip-de Vries and Grant-Salehzadeh) that describe temperature effects on
. Columns packed with natural or hydrophobized soil materials were first water saturated, then drained at 5, 20, and 38°C, and rewetted again to saturation. Capillary pressure and water content,
, at five depths in the columns were measured continuously. The observations were used to determine the change in
A with T, as well as a parameter ß0 that describes the change in
with T. It was found that the Philip-de Vries model did not adequately describe the observed relation between
and T. A mean value for ß0 of -457 K was measured, whereas the Philip-de Vries model predicts a value of -766 K. Our results seem to confirm the Grant-Salezahdeh model that predicts a temperature effect on
A. For the sand and the silt we studied, we found a decrease in
A between 1.0 to 8.5°, when the temperature was increased from 5 to 38°C. Both ß0 and
A were only weak functions of
. Furthermore, it seemed that for the humic soil under study, surfactants, i.e., the dissolution of soil organic matter, may compound the contact angle effect of the soil solids.
Abbreviations: SD, quartz sand SDphob, hydrophopic quartz sand SL, wettable humic soil SLphob, hydrophobic humic soil ST, wettable silt STphob, hydrophobic silt T, temperature TDR, time domain reflectometry WRC, water retention curve
, soil water content
, surface tension
lg, liquid-air surface tension
, capillary pressure
, angle of contact
A, apparent contact angle
sd, sessile drop contact angle
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INTRODUCTION
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TEMPERATURE AFFECTS the
of soil water, which is manifested as temperature-affected soil WRCs. Even though many investigators report WRC without considering temperature, Hopmans and Dane (1986), Nimmo and Miller (1986), Salehzadeh (1990), Constantz (1991), and She and Sleep (1998) among others have all observed that WRCs change with temperature. Philip and de Vries (1957) assumed that changes of
in unsaturated porous media with temperature were due entirely to changes in interfacial
of pure liquid water. However, most later experiments indicated that temperature-induced changes in
were larger than the temperature effect on
alone (Jury and Miller, 1974; Novak, 1975; Bach, 1992; Liu and Dane, 1993; Döll, 1996). Nimmo and Miller (1986) showed that the temperature effect in porous media exceeded the temperature dependence of the liquidgas interface by a factor of one to five. Hopmans and Dane (1986), following a suggestion of Chahal (1964)(1965), reported that neither entrapped air nor the temperature dependence on
of the soil solution could account for the observed temperature-dependence of
.
As a further potential cause for the observed discrepancy, temperature effects on the
may be considered. The
at the three-phase boundary line is one of the fundamental quantities, besides the liquid
, affecting water retention. A study of contact angle effects on water retention generally requires knowledge of
of the dry-soil particle surface to describe the wetting properties of the solid surface. In this context, the definition of
needs some clarification. When a liquid is in contact with a plane solid surface,
is defined as the angle between the solid and a tangent aligned with the liquid at the point of contact with the solid. The contact angle is actually dependent on a balance of interfacial forces in the three-phase solidliquidgas system. This property can be assessed, e.g., with the sessile-drop method (sessile-drop contact angle,
SD; see Adamson, 1990). However, when specifying the combined effect of wettability and pore system, one should derive
directly from the three-phase system, i.e., the WRC of the wettable medium and its hydrophobic counterpart. The contact angle derived from such an experiment can be called the apparent contact angle (
A). The
A thus reflects the combined effect of interfacial tensions and factors like surface roughness, topology of the pore system, and dynamics of the flow process on water retention.
In a recent paper, Grant and Salehzadeh (1996) developed theory that connected assessable physical quantities like
with theory describing surface properties of the solid phase. In their derivation, they partitioned the temperature effect of
and
on the capillary pressuresaturation relationship. This derivation can be considered as a thermodynamic extension of the mechanistic Philip and de Vries (1957) model. First experimental results for some soil materials and a glass-bead sample showed that changes in
contributed to the temperature sensitivity of
. Based on the theory of Grant and Salehzadeh (1996), She and Sleep (1998) derived an expression for predicting the temperature dependence of
. Their theory predicts an increase of
with increasing temperature. For quartz surfaces in contact with bulk water, also Derjaguin and Churaev (1986) predicted an increase of
with increasing temperature. However, in contrast to current theory, there is experimental evidence that
decreases with increasing temperature (King, 1981).
To our knowledge, there have been no systematic studies of the temperature dependence of
in soils having a different contact angle. To resolve the discrepancy between observed and theoretical temperature effects on
, a careful study of temperature effects on WRCs for a group of soil materials with a wide range of contact angles is needed. The objectives of this study therefore were (i) to measure temperature effects on water retention curves of paired (wettable-hydrophobic) soil samples, (ii) to determine how temperature affects the
A of the paired soil samples, and (iii) to evaluate the Philip-de Vries and Grant-Salehzadeh models for describing temperature effects on capillary pressure.
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THEORY
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Capillary Pressure and Temperature Dependence
The pressure difference across a concave interface of a water meniscus under equilibrium conditions in a capillary can be expressed as (Grant and Salehzadeh, 1996; their Eq. [3])
 | [1] |
where
[Pa] is the capillary pressure,
lg [N m-1] is the surface tension of the liquidgas interface tension,
[°] is the contact angle, and r [m] is the average radius of the liquidgas interface.
From Eq. [1], the partial derivative of
with respect to T can be written as (Grant and Salehzadeh, 1996; their Eq. [6])
 | [2] |
The first term of the right-hand side of Eq. [2] represents the conventional approach of Philip and de Vries (1957), whereas the second term stands for the extension because of the contact-angle temperature effect, proposed by Grant and Salehzadeh (1996).
The temperature dependence of the liquidair surface tension,
lg, in the range of -10 to 50°C is described closely by a linear function (see Grant and Salehzadeh, 1996) as
 | [3] |
where a' = 0.11766 ± 0.00045 N m-1 and b' = -0.0001535 ± 0.0000015 N m-1 K-1, and (for later use) a'/b' = -766.45 K.
Frequently, it is assumed that the
is also a linear (decreasing) function of the temperature, T [K]. For soils with a given water content,
(m3 m-3), this function can be expressed as
 | [4] |
With use of Eq. [4], a soil-specific parameter, ß0, can be defined (Grant and Salehzadeh, 1996; their Eq. [43]) as
 | [5] |
where ß0 =
.
Grant and Salehzadeh (1996) postulated that, in view of Eq. [2], [3], and [4], if the
is independent of T the slope of a plot of T versus
/(
/
T) should be equal to one. In this case a value for ß0 should be found experimentally, that is, close to
= -766.45 K (see Grant and Salehzadeh, especially their Eq. [26]). Under this assumption, the temperature dependence of
is caused only by the temperature dependence of the surface tension,
lg, of pure water, which basically is the model of Philip and de Vries (1957).
However, if it is assumed that also the
is temperature-dependent, the slope of the T versus
/(
/
T) plot still should be equal to one, but the value of ß0 should differ from
= -766.45 K. Now Eq. [5] applies and ß0 in this case is equal to a'/b'
-766.45 K. Hence, to find out which model should be used to describe the temperature dependence of the capillary pressure,
(T,
), WRCs at different temperatures of wettable soil materials and their nonwettable counterparts should be determined.
Parameterization of Temperature-Dependent Water Retention Curves
For later use it is remarked here that separation of variables and integration of Eq. [5] leads to an expression that can be incorporated into any analytical model for a general description of the function
(
,T), see Grant and Salehzadeh (1996). This expression can be given as
 | [6] |
where T is an arbitrary temperature [K], say 38°C, and Tr is a reference temperature [K], e.g., 5°C. Combination of Eq. [6] with the van Genuchten (1980) equation yields:
 | [7] |
In Eq. [7] the quantity
r is the residual water content,
s is the saturated water content, and
[m-1], n, and m are empirical fitting parameters.
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MATERIALS AND METHODS
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Soils
We used three wettable soil materials and their hydrophobic counterparts as paired samples. The first material was a laboratory quartz sand, whereas the second one was a subsoil silt from a Weichselian loess under agricultural use. The wettable laboratory quartz sand (SD) and the wettable silt (ST) were hydrophobized by coating the grains with Dichlorodimethylsilane (C2H6Cl2Si) (Shaw, 1975) to give hydrophobic materials (SDphob and STphob) with identical texture to SD and ST, respectively, but with a different contact angle. Based upon soil texture, the amount of applied Silane was 7.5 mL kg-1 air-dry soil for the sand and 50 mL kg-1 for the silt. The third material was a humic soil, sampled at a former pine (Pinus sylvestris) stand that had been in horticultural use for the last 15 yr. This soil was a Spodosol formed on glacial till sand. The contact angle of the Ah-horizon of this soil varied between slight water repellency (sample SL) and strong water repellency (SLphob). The initial
SD of air-dry samples of our soils, as a measure of potential repellency, was assessed by the modified sessile-drop method (Bachmann et al., 2000a,b). Selected physical and chemical properties of the three wettable soils and their hydrophobic counterparts are shown in Table 1.
Experimental Setup
All experiments were conducted with vertical acrylic columns having an i.d. of 8.85 cm and a height of 15.0 cm (Fig. 1)
. Each column was situated in an insulation box and was closed at the top and the bottom with a ceramic plate having an air entry value exceeding (more negative than) -80 kPa (KPM Company, Berlin).
The plates at the top and the bottom of each column were placed in permanent contact with water reservoirs of a given temperature. The temperature was adjusted for each drying-wetting cycle. Temperature control in the insulation box and in the water reservoirs at both ends of a column was maintained by circulating cold water through copper coils (T < 20°C) and by a heating wire (T > 20°). To minimize lateral heat fluxes, the sides of a column were sealed with three layers of 1-cm thick extruded polystyrene insulation and fitted with three additional temperature sensors (Fig. 1).
Column experiments were conducted with all six soil materials. To prepare a column, dry soil was poured into an initially water-filled column. To check for homogeneous packing, bulk density was determined after each centimeter of soil that was added. To minimize shrinking during an experiment, each soil was initially drained to create water tensions that were higher than those occurring during the following drying-wetting cycles. Because the soil materials differed in organic matter content, mineral composition, and contact angle, the final bulk densities differed slightly after the initial drainage-wetting cycle preparation (Table 1).
Soil water tension, water content, and temperature were measured at five positions along the axis of each column. Soil temperature was measured with semiconductor elements (KTY 10, Conrad Electronic, Hirschau, Germany) having an accuracy <0.3°C, soil water tension with pressure transducer tensiometers (136 PC, Honeywell, Fort Washington, PA, accuracy <0.15 kPa), and soil water content with time domain reflectometry (TDR) probes (TRIME-ES System, Imko, Karlsruhe, Germany). The TDR probes were calibrated individually for each soil at four different water contents and three temperatures (5, 20, and 38°C). Accuracy of the probes was within 1.0 to 1.5% (vol./vol.) after calibration. The temperature dependence of each TDR probe was evaluated for two ranges: from 5 to 20°C and from 20 to 38°C. Data were acquired and the system was controlled with two data loggers (Analog Devices) connected to a DOS operating personal computer.
With the soil columns just described, drying (drainage) and rewetting experiments were performed. During drying, columns were drained from the top with a constant water potential of -65 kPa being maintained at the upper ceramic plate. Columns were rewetted from the bottom with a constant positive water pressure of 2 kPa at the lower ceramic plate. During drying the lower outlet was closed, whereas during wetting the upper outlet was shut off. Rewetting was considered to be complete when the tensiometers in all depths indicated positive water pressure. Because the outflow rates varied for the different soils, the duration of a drying cycle was soil-dependent. Drainage from the sand columns was stopped when the change in
was <0.04 kPa h-1. The corresponding value for the silt was <0.08 kPa h-1, and for the humic soil <0.14 kPa h-1. The corresponding water content at the reversal point was defined as
min. All three drying-wetting cycles were completed within 3 wk, i.e., one temperature cycle per week. In summary, a total of 180 WRCs (six soils, five depths, three temperatures, one wetting cycle, and one drying cycle) were collected.
Evaluation of ß0 from Water Retention Curves at Different Temperatures
The parameter ß0 was evaluated locally and globally in a column. For the local estimation of ß0, we used Eq. [4] and estimated first, from a pair of
(
,T) values (for the same
-value, but for two temperatures) values for a(
) and b(
). From these values, ß0 was calculated as a(
)/b(
), or as
 | [8] |
In Eq. [8] T1 and T2 [K] are the temperatures (278 K and 311 K which correspond to 5°C and 38°C) at which the WRCs were measured. Curve fitting with a cubic spline function was performed with the Sigma Plot 5 software package (Jandel Corporation, Chicago, IL). Cubic splines were used in this part of the analysis to smooth the data with a high degree of flexibility.
Alternatively, we evaluated ß0 by using the data from five depths and three temperatures simultaneously (global estimates). For this analysis, we used two different approaches. First, we applied a two-dimensional cubic spline interpolation at each of the three temperatures for selected water contents according to Grant and Salehzadeh (1996) by using the CSAKM function of the IMSL routine package (International Mathematics and Statistics Libraries, 1989). Second, the parameter ß0, as well as the van Genuchten-equation parameters
, n, m,
s, and
r, were fitted simultaneously to a complete data set of either wetting or drying by using Eq. [7] directly. The nonlinear least squares approximation of the extended van Genuchten equation was also determined with the Sigma Plot 5 software package.
The function
(
,T) of Eq. [7]) was also used, in combination with Eq. [1], to estimate the
A of the nonwettable soils under study. Following Morrow (1976) and She and Sleep (1998), we assumed that the
A of a wettable soil was equal to zero, i.e., cos(
A) = 1, and that the
lg of the soil solution of a wettable soil was equal to that of its nonwettable counterpart. Using Eq. [1] for both a wettable soil and its nonwettable counterpart and building ratios, we calculated
A, for given values of
and T, from the following expression:
 | [9] |
where phil and phob stand for the hydrophilic (wettable) and hydrophobic (nonwettable) soil, respectively.
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RESULTS AND DISCUSSION
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All drying-wetting cycles were carried out in the same fashion. To control the duration of the hydrophobicity,
SD were measured before and after each experiment. It was found that differences in
SD, measured before and after an experiment, were smaller than the standard deviation of
SD (see Table 1). Therefore, it was assumed that the wettability of the soil particle surfaces remained constant during the entire experiment. Each drying (drainage) cycle of a soil column started after 1 to 2 d of saturation, as indicated by positive and depth-increasing matric potentials. A small increase or decrease of the matric potential of 0.1 to 0.2 kPa indicated variation of the temperature during saturation. Temperature dependence of the
s and the reversal (minimum) water content,
min, at the end of a drying cycle are shown in Table 2. The
s had a tendency toward smaller values with increasing temperature, except for the hydrophobic sand (SDphob) and the wettable soil (SL).
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Table 2. Temperature dependence of the soil water content, s, at saturation and the reversal (minimum) water content, min, at the end of a drying (drainage) cycle.
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Matric potentials differed generally slightly, being depth-dependent at the reversal point, when drying was reversed to wetting. The temperature dependence was generally smaller for
min than for
s. Except for ST and STphob,
min showed a tendency to decrease with increasing temperature. In contrast to the capillary model of Liu and Dane (1993), we assume, therefore, that
min was constant with temperature. Because the depth dependence of the
min values (initial water content for wetting curves) was relatively small, no hysteresis model was used to parametrize the wetting WRCs.
Collected data sets were used to construct the respective WRC. The data were parameterized with use of the van Genuchten (1980) model. Figure 2
shows the general tendency observed for all soils, that both wetting and drying WRCs were approximated satisfactorily with the closed-form equation of van Genuchten (1980).
A complete list with the tabulated data of all measurements can be obtained from the senior author.
The Effect of Temperature on Capillary Pressure
For SD and SDphob, we found that the temperature effect was smaller than the accuracy of the pressure transducers. Therefore, only the ST and the SL were analyzed. In a first step, the experimental data for 5 and 38°C at each depth were fitted to a cubic spline function. Then the ß0 was determined as described by Eq. [7]. As an example, Fig. 3
shows ß0 values for the SLphob, determined for each of the five depths. Because of the level of experimental error, we observed no statistically significant trend in depth dependence of ß0.

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Fig. 3. Temperature parameter, ß0, versus water content, , (drying) for the hydrophobic soil (SLphob). Mean value of ß0 estimated from local analysis (mean of all depths) is -365 ± 35 K. Note that the value of ß0 for pure water is -766.45 K.
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Referring to Table 3, we can see that the temperature effect increased (ß0 is less negative) when the soil water content was increasing (wetting cycle,
ß0/
> 0).
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Table 3. Temperature parameter, ß0, derived from cubic spline fitting and van Genuchten approximation, calculated for the temperature range of 5 to 38°C.
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Fig. 5. Apparent contact angle, A, derived from drying water retention curves at 5°C, for the hydrophobic soil (SLphob).
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For wetting, the water content dependence of ß0 was approximately three times larger than for drying. Almost all water-content dependent ß0 values were found to be significantly larger than the temperature dependence predicted by the Philip-de Vries model. Table 3 shows further the considerable magnitude of the standard deviation associated with the depth-by-depth estimation of ß0.
The simultaneous cubic spline interpolation, which was based on the entire data set from five depths and three temperatures, lowered the standard error of the estimated ß0 value markedly. As also shown in Table 3, the mean for all depths obtained by local estimation
was close to the value obtained by global estimation
. A similar reduction of the standard error was obtained when global fits were performed with Eq. [7], see Table 3. A comparison of global fits of either the cubic spline approximation or the van Genuchten equation yielded almost identical values. In summary, the local estimates of ß0 resulted in slightly smaller ß0 values (less negative) than global fits of ß0. However, ß0(
) values obtained locally for each depth were consistent with ß0 determined from global fits. If a constant ß0 was used instead of ß0(
), the temperature effect was underestimated at high
values and overestimated at low
values. The error, however, is only slightly larger than the standard error of the global fit in the range of measured water contents. Table 3 shows further that ß0 was larger (i.e., less negative) for wetting WRCs than for drying WRCs. Data from the literature are in agreement with this observation (Table 4).
All data strongly indicate that the temperature dependence of
was much larger than can be explained by the surface tension (
lg) effect of pure bulk water alone. For instance, the ß0 value of -766 K derived for pure water leads to a reduction of
(less negative) by a factor of 0.93 if the soil temperature increases at constant water content from 5 to 38°C. However, the corresponding value for the hydrophobic humic soil (e.g., ß0 = -350 K for drying) decreased
by a factor of 0.54, which is an effect about six times larger than described by the temperature dependence of
lg of pure water alone. Mixed mineral composition, surface roughness, and pore geometry, can be expected to influence adsorption and, hence, the capillary forces that control water retention. For the soils without soil organic matter, ß0 was larger for the hydrophilic variant. For the soil with an organic C content of 1.4%, the values were also much larger compared with water. This is particularly true for SLphob, which shows strong repellency.
With known values for the parameters a and b of Eq. [4] and for ß0 of Eq. [5], Eq. [7] was used for any of the soils under study to construct the temperature-dependentWRCs. As an example, Fig. 4
presents measured data points and the
(T,
) surface of the fitted two-dimensional van Genuchten equation for the SLphob.

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Fig. 4. Global fit of the temperature-dependent van Genuchten function for the hydrophobic soil (SLphob) (drying and wetting).
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Evaluation of the Apparent Contact Angle
The depth-dependent spline functions were also used to calculate
A for the hydrophobic soils for each depth of a column (Eq. [9]). Table 5 shows such values derived from the WRCs measured at 5 and 38°C, both for wetting and drying. Generally, a tendency to lower
A values was observed with increasing depth for both the drying and the wetting WRCs. The mean value of
A for all materials was 45.7°.
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Table 5. Apparent contact angle A for the hydrophobic soil materials (calculated with Eq. [9]), derived from water retention curves at 5°C and 38°C.¶
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We examined also the dependence of
A on
. With a linear regression the slope 
A/
of the function
A = f
was determined. In Table 5 values of 
A/
for each soil at 5 and 38°C are shown. It can be seen that this value is generally small, but for half of the soils the value was significantly different from zero (t-test, Snedecor and Cochran, 1980). Hence, it can be assumed that
A is only a weak function of
within the range of observed water contents (Fig. 5)
.
A comparison of the
SD with the
A shows further that the water content at the reversal point
min was obviously higher than the critical water content, where the transition from wettability to hydrophobicity for soils with a
SD > 90° may occur. A transition to repellency, indicated by positive potentials during the wetting process, was not observed at any position in the column. Morrow (1976) found for a hydrophobic porous medium and with the use of several liquids, having a wide range of
lg, that drying to a capillary pressure <3.5 times the liquid surface tension led to nonliquid uptake in the subsequent wetting cycle, when
SD was >60°. During our experiments, water tensions higher than the numerical value of 3.5 multiplied by
lg (e.g., for water as testing liquid: 25 kPa) were reached at the reversal points for silt and soil. Other researchers (e.g., de Jonge et al., 1999) found that water repellency varied greatly with water content. Preliminary observations we made before our column experiments showed that water repellency occurred for the SLphob at water contents around 1 to 2% by weight, which corresponded to a matric potential of about -75 MPa. For the ST, a corresponding transition was also observed between 1 and 2%, which corresponds to matric potentials of -2 to -3 MPa. In summary, our values of the critical capillary pressures for soil materials thus were considerably more negative than the values reported by Morrow (1976) for a porous Teflon sample in combination with organic and nonorganic liquids.
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Temperature Dependence of the Apparent Contact Angle
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Table 5 indicates that the temperature dependence of
A has a tendency to smaller values with increasing temperature, with the exception for the drying cycle of the paired soils SL and SLphob. This result may be explained to some extent by the dissolution of soil organic substances. Generally, dissolved organic substances lower the liquid surface tension
lg of 72.6 mN m-1 for pure water. Chen and Schnitzer (1978) and Tschapek et al. (1976) reported a decrease in
lg of the soil solution to values around 63 mN m-1, caused by humic acid. A large reduction of
lg was reported by Chen and Schnitzer (1978), who found values as low as 44 mN m-1. Singleton (1960)(cited in Nimmo and Miller, 1986) found a three times higher solubility of fatty acids with a temperature increase from 0 to 60°C. This result is in line with the largest value of ß0 we observed for SLphob, compared with the sand and silt samples without soil organic matter. Generally, a larger temperature factor results in lower capillary forces at high temperatures because increasing temperature affects the WRC in the same direction as an increasing
. If the
of the reference soil remains stable with temperature or shows at most a small increase, then the contact-angle difference increases with higher temperature. This effect, however, cannot be quantified without additional measurements of the temperature dependence of the soil solution surface tension.
In summary, the contact-angle decrease with temperature 
A/
T is between -0.03°/°C and -0.26°/°C. These values agree with those cited by She and Sleep (1998), but are smaller than those reported by King (1981). These differences are statistically significant for all soils with exception of the paired sand (SD/SDphob; Welch-test at the 5% level; see Snedecor and Cochran, 1980).
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CONCLUSIONS
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Generally, our results confirm the findings of others who determined the temperature dependence with WRCs under equilibrium conditions. Three possible mechanisms are expected to cause a six times higher temperature dependence of
than predicted by the temperature dependence of pure water only: (i) temperature-induced changes in contact angle, (ii) changes in liquid-gas interfacial tension because of solute effects. and probably (see Grant and Salehzadeh, 1996), (iii) changes of the enthalpy of immersion with temperature or capillary pressure.
Our results show that apparent contact angles are temperature dependent and are decreasing with temperature in most cases. On the other hand, an apparent contact angle increase, as predicted by theory (She and Sleep, their Eq. [23]), was not observed, except for the humic soil during drying. For this soil it is likely, that surfactants, i.e., dissolved soil organic matter, compounds the contact angle effect caused by the properties of the solid surface. The temperature-dependent solution of surfactants and their impact on the liquid surface tension may enhance the temperature effect on drying and wetting WRCs. However, to determine quantitatively the solute effect, additional measurements of the liquid surface tension have to be made. Further research is necessary to evaluate the temperature effect on the contact angle
SD of the dry solid surface. Measurements of the enthalpy of immersion and direct evaluation of the contact angle at different temperatures would give further valuable information on the physical nature of water in porous media.
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ACKNOWLEDGMENTS
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We thank the German Research Foundation (DFG) and the Iowa State University Agronomy Department Endowment for supporting this research. We also thank R. Rünger for his valuable technical assistance.
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NOTES
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Journal Paper no. J-19022 of the Iowa Agric. and Home Econ. Exp. Stn., Ames; Project no. 3287, and supported in part by Hatch Act and State of Iowa funds.
Received for publication December 8, 2000.
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