Geothermics 57 (2015) 56–72
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Geothermics
jo ur nal homep age: www.elsevier.com/locate/geothermics
Impact of coupled heat transfer and water flow on soil borehole
thermal energy storage (SBTES) systems: Experimental and modeling
investigation
Ali Moradi
a,∗
, Kathleen M. Smits
a
, Jacob Massey
a
, Abdullah Cihan
b
, John McCartney
c
a
Center for Experimental Study of Subsurface Environmental Processes (CESEP), Department of Civil and Environmental Engineering, Colorado School of
Mines, Golden, CO, USA
b
Earth Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, CA, USA
c
Department of Structural Engineering, University of California, San Diego, CA, USA
a r t i c l e i n f o
Article history:
Received 6 October 2014
Accepted 25 May 2015
Keywords:
SBTES systems
Vadose zone
Convective heat transfer
Phase change
Numerical model
Experimental investigation
a b s t r a c t
A promising energy storage option is to inject and store heat generated from renewable energy sources
in geothermal borehole arrays to form soil-borehole thermal energy storage (SBTES) systems. Although
it is widely recognized that the movement of water in liquid and vapor forms through unsaturated soils
is closely coupled to heat transfer, these coupled processes have not been considered in modeling of
SBTES systems located in the vadose zone. Instead, previous analyses have assumed that the soil is a
purely conductive medium with constant hydraulic and thermal properties. Numerical modeling tools
that are available to consider these coupled processes have not been applied to SBTES systems partly
due to the scarcity of field or laboratory data needed for validation. The goal of this work is to test
different conceptual and mathematical formulations that are used in heat and mass transfer theories and
determine their importance in modeling SBTES systems. First, a non-isothermal numerical model that
simulates coupled heat, water vapor and liquid water flux through soil and considers non-equilibrium
liquid/gas phase change was adopted to simulate SBTES systems. Next, this model was used to investigate
different coupled heat transfer and water flow using nonisothermal hydraulic and thermal constitutive
models. Data collected from laboratory-scale tank tests involving heating of an unsaturated sand layer
were used to validate the numerical simulations. Results demonstrate the need to include thermally
induced water flow in modeling efforts as well as convective heat transfer, especially when modeling
unsaturated flow systems. For the boundary conditions and soil types considered, convective heat flux
arising from thermally induced water flow was greater than heat transfer due to conductive heat flux
alone. Although this analysis needs to be applied to the geometry and site conditions for SBTES systems
in the vadose zone, this observation indicates that thermally induced water flow can have significant
effects on the efficiency of heat injection and extraction.
© 2015 Elsevier Ltd. All rights reserved.
1. Introduction
The rapidly growing gap between consumption and produc-
tion of energy can be addressed by introducing new cost-effective
and renewable energy sources such as wind or solar energy. An
important issue limiting the implementation of renewable energy
sources is energy storage, as it is not possible to control the tim-
ing of the supply of solar or wind energy. For example, unlocking
solar energy’s full potential becomes relatively complex because its
∗
Corresponding author. Tel.: +1 3032733767.
E-mail address: amoradig@mines.edu (A. Moradi).
rate of generation is highest mid-day and during summer months,
which is offset from the timing of the highest rates of heat consump-
tion in winter (Pinel et al., 2011). Although a significant amount
of research is being devoted to storage of electricity, the storage
of heat can be more cost-effective and can be done on different
scales. Soil-borehole thermal energy storage (SBTES) systems are
one such technology that has been shown to be effective at storing
heat collected from solar thermal panels in the summer so that it
can be later extracted during the winter (Sibbitt et al., 2007, 2012).
SBTES systems involve direct circulation of heated fluid through
closed-loop geothermal heat exchangers in closely spaced vertical
borehole arrays (Claesson and Hellstrom, 1981; Pinel et al., 2011;
Bas ¸ er and McCartney, 2015). The geothermal heat exchangers are
http://dx.doi.org/10.1016/j.geothermics.2015.05.007
0375-6505/© 2015 Elsevier Ltd. All rights reserved.