The diffculties related to open loop geothermal systems using includes, in particular, the fact that there is a reverse injection of the cold water through an injection well into an underground aquifer from which hot water is extracted. This necessity for an injection well presence is caused the thermal water from an underground reservoir possible to be high mineralize and to contain toxic compounds and metals, and in most cases one have to avoid to discharge these waters into ground surface natural water systems. An open loop geothermal system of three wells is considered, which can be both productive and injection wells. The developed algorithms and programs allow to select an optimal system configuration of three wells for a specific geothermal deposit. The results of numerical calculations for various variants of the geothermal system are presented.

1.
U.
Lucia
,
M.
Simonetti
,
G.
Chiesa
, and
G.
Grisolia
,
Renewable and Sustainable Energy Reviews
70
,
867
874
(
2017
).
2.
C.
Sebarchievici
and
I.
Sarbu
,
Renewable Energy
76
,
148
159
(
2015
).
3.
H.
Nowamooz
,
S.
Nikoosokhan
,
J.
Lin
, and
C.
Chazallon
,
Renewable Energy
76
,
7
15
(
2015
).
4.
F.
Kreith
and
D. Y.
Goswami
,
Heat Pumps, Energy Management and Conservation Handbook
(
CRC Press
,
USA
,
2008
).
5.
P. Y.
Polubarinova-Cochina
,
Theory of motion of ground water
(
Nauka
,
Moscow
,
1977
).
6.
A. J.
Chorin
,
Journal of Computational Physics
2
,
12
26
(
1967
).
7.
A. A.
Samarsky
and
P. N.
Vabishchevich
,
Computational Heat Transfer, Volume 2, The Finite Difference Methodology
(
Wiley
,
Chichester
,
195
).
8.
V. V.
Bashurov
,
N. A.
Vaganova
, and
M. Y.
Filimonov
,
Computational technologies
16
(
4
),
3
18
(
2011
).
9.
N.
Vaganova
, “
Mathematical model of testing of pipeline integrity by thermal fields
,” in
Applications of Mathematics in Engineering and Economics (AMEE’14)
,
AIP Conference Proceedings
1631
, edited by
G.
Venkov
and
V.
Pasheva
(
American Institute of Physics
,
Melville, NY
,
2014
), pp.
37
41
.
10.
N. A.
Vaganova
and
M. Y.
Filimonov
, “Simulation and numerical investigation of temperature fields in an open geothermal system,” in
Finite Difference Methods, Theory and Applications, Lecture Notes in Computer Science 9045
, edited by
Dimov
,
Farago
, and
L.
Vulkov
(
Springer Verlag
,
Germany
,
2015
), pp.
393
399
.
11.
N. A.
Vaganova
and
M. Y.
Filimonov
,
Journal of Physics: Conference Series
754
, p.
112004
(
2016
).
12.
N. A.
Vaganova
and
M. Y.
Filimonov
, “
Refinement of model of an open geothermal system
,” in
Applications of Mathematics in Engineering and Economics (AMEE’16)
,
AIP Conference Proceedings
1789
, edited by
Pasheva
,
N.
Popivanov
, and
G.
Venkov
(
American Institute of Physics Publising
,
Melville, NY
,
2016
) p.
020020
.
13.
M. Y.
Filimonov
and
N. A.
Vaganova
, “Simulation of temprature distribution in a geothermal aquifer (in russian),” in
Problems of Mechanics and Materials Science
,
Proc.of IM UrB RAS (IM UrB RAS
,
Izhevsk
,
2014
), pp.
219
222
.
14.
N. A.
Vaganova
and
M. Y.
Filimonov
,
Journal of Physics: Conference Series
820
, p.
012010
(
2017
).
15.
N. A.
Vaganova
,
Proceedings of the Steklov Institute of Mathematics (Suppl.)
S2
,
S182
193
(
2003
).
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