The paper presents a mathematical model of the destruction of a spherical hydrate monolith. It is assumed that there is a spherical cavity inside the hydrate particle, initially containing only methane. Since the conditions on the surface of the particle correspond to the conditions of the free existence of gas and water, the gas hydrate begins to decompose. On the basis of the obtained system consisting of the mass and heat conservation equations, the temperature distributions in the "cavity – gas hydrate" system are obtained, and the influence of the initial temperature of the system and the temperature in the cavity on the dynamics of hydrate decomposition is analyzed.

Topics
Complex solids, Mathematical modeling
1.
L.V.
 
Chertkova
 and
P.A.
 
Stunzhas
,
Volcanology and seismology
 
3
,
35
–
50
(
1990
).
Google Scholar
 
2.
A.V.
 
Egorov
,
R.I.
 
Nigmatulin
,
N.A.
 
Rimsky-Korsakov
,
A.N.
 
Rozhkov
,
A.M.
 
Sagalevich
 and
E.S.
 
Chernyaev
,
Oceanology
 
50
(
4
),
505
–
514
(
2010
).
https://doi.org/10.1134/S000143701004003X
Google Scholar
Crossref
Search ADS
 
3.
A.V.
 
Egorov
,
R.I.
 
Nigmatulin
 and
A.N.
 
Rozhkov
,
Transition of deep-sea methane bubbles into solid hydrated forms
(
IP Mekh RAN
,
Moscow
,
2013
), pp
34
.
Google Scholar
 
4.
A.V.
 
Egorov
 and
A.N.
 
Rozhkov
,
Izvestiya RAN. Mechanics of liquid and gas
 
5
,
93
–
103
(
2014
).
Google Scholar
 
5.
V.Sh.
 
Shagapov
 and
B.I.
 
Tazetdinov
,
Bulletin of the Samara State University. Natural science series. Mechanics
 
9/2
(
110
),
34
–
40
(
2013
).
Google Scholar
 
6.
V.Sh.
 
Shagapov
,
B.I.
 
Tazetdinov
 and
O.R.
 
Nurislamov
,
Bulletin of the Tomsk State University
.
Mathematics and Mechanics
 
6
(
26
),
106
–
113
(
2013
).
Google Scholar
 
7.
V. Sh.
 
Shagapov
,
A. S.
 
Chiglintseva
,
A. A.
 
Rusinov
 and
B. I.
 
Tazetdinov
,
Thermophysics of high temperatures
 
55
(
3
),
440
–
446
(
2017
).
Google Scholar
 
8.
A.S.
 
Chiglintseva
,
M.R.
 
Davletshina
 and
M.V.
 
Stolpovsky
,
Problems of collection, preparation and transportation of oil and oil products
 
6
(
128
),
45
–
54
(
2020
).
Google Scholar
 
9.
R. I.
 
Nigmatulin
,
Dynamics of multiphase media. Part 1
(
Nauka
,
Moscow
,
1987
), pp.
464
.
Google Scholar
 
10.
M.R.
 
Davletshina
,
M. V.
 
Stolpovsky
 and
A. S.
 
Chiglintseva
,
IOP Conference Series: Materials Science and Engineering
 
919
,
062070
(
2020
).
https://doi.org/10.1088/1757-899X/919/6/062070
Google Scholar
Crossref
Search ADS
 
11.
M. R.
 
Davletshina
,
M. V.
 
Stolpovsky
,
A. S.
 
Chiglintseva
 and
I. K.
 
Gimaltdinov
,
IOP Conference Series: Materials Science and Engineering
 
919
,
062071
(
2020
).
https://doi.org/10.1088/1757-899X/919/6/062071
Google Scholar
Crossref
Search ADS
 
12.
I. K.
 
Gimaltdinov
,
N. G.
 
Musakaev
,
M. K.
 
Khasanov
,
M. V.
 
Stolpovsky
,
Bulletin of the Tyumen State University
.
physical and mathematical modeling. oil, gas, energy
 
7
,
6
–
13
(
2011
).
Google Scholar
 
13.
I. K.
 
Gimaltdinov
,
M. V.
 
Stolpovsky
 and
M.I.
 
Dodova
,
Bulletin of the Tomsk Polytechnic University
.
Engineering of georesources
 
328
(
6
),
91
–
98
(
2017
).
Google Scholar
 
14.
M. R.
 
Davletshina
,
M. V.
 
Stolpovsky
,
A. S.
 
Chiglintseva
 and
I. K.
 
Gimaltdinov
,
IOP Conference Series: Materials Science and Engineering
 
919
,
062069
(
2020
).
https://doi.org/10.1088/1757-899X/919/6/062069
Google Scholar
Crossref
Search ADS
 
This content is only available via PDF.
© 2022 Author(s).
2022
Author(s)
You do not currently have access to this content.