For subsea mining, the prediction of pressure loss due to the hydraulic transport of solid particles in the flexible pipe to connect the mining tool and the lifting system is important for the design of mining system. The configuration of the flexible pipe is expected to have an inclined part. In the present paper, the authors developed a mathematical model to predict the pressure loss in inclined pipes. The total pressure loss is expressed by the summation of the loss due to a liquid single-phase flow and the additional loss due to the existence of solid particles. The additional pressure loss can be divided into the variation in static pressure due to the existence of solid particles, the loss due to the particle-to-pipe wall friction and collisions, and the loss due to the particle-to-particle collisions. The empirical formula in horizontal pipes proposed by the other researchers was applied to the model of the last two losses. Furthermore, we carried out the experiment on hydraulic transport of solid particles in a pipe. In the experiment, alumina beads, glass beads, and gravel were used as the solid particles, and the inclination angles of the pipe were varied to investigate the effect of the pipe inclination on the pressure loss. The calculated pressure loss using the model was compared with the experimental data. As the results of the comparison, it was confirmed that the developed model could be applied to the prediction of the pressure loss in inclined pipes.

References

References
1.
METI, JOGMEC, Advisory Committee on SMS Mining
,
2013
, “
Final Report of SMS Development Program Stage I
,” Japanese Ministry of Economy, Trade and Industry, Japan Oil, Gas and Metals National Corporation, Tokyo, Japan (in Japanese).
2.
Leach
,
S.
,
Smith
,
G.
, and
Berndt
,
R.
,
2012
, “
SME Special Session: Subsea Slurry Lift Pump Technology—SMS Development
,”
Offshore Technology Conference
(OTC), Houston, TX, Apr. 30–May 3,
SPE
Paper No. OTC-23224.
3.
Espinasse
,
P.
,
2012
, “
Understanding SMS Behavior to Define the Subsea Mining Operating System
,”
Offshore Technology Conference
(OTC), Houston, TX, May 3–6,
SPE
Paper No. OTC-20978.
4.
Durand
,
R.
,
1953
, “
Basic Relationships of the Transportation of Solids in Pipes—Experimental Research
,”
Minnesota International Hydraulics Conference
, International Association for Hydraulic Research, Minneapolis, MN, Sept. 1–4, pp.
89
103
.
5.
Newitt
,
D. M.
,
Richardson
,
J. F.
,
Abbott
,
M.
, and
Turtle
,
R. B.
,
1955
, “
Hydraulic Conveying of Solids in Horizontal Pipes
,”
Trans. Inst. Chem. Eng.
,
33
, pp.
93
113
.
6.
Newitt
,
D. M.
,
Richardson
,
J. F.
, and
Gliddon
,
B. J.
,
1961
, “
Hydraulic Conveying of Solids in Vertical Pipes
,”
Trans. Inst. Chem. Eng.
,
39
, pp.
93
100
.
7.
Xia
,
J. X.
,
Ni
,
J. R.
, and
Mendoza
,
C.
,
2004
, “
Hydraulic Lifting of Manganese Nodules Through a Riser
,”
ASME J. Offshore Mech. Arct. Eng.
,
126
(
1
), pp.
72
77
.
8.
Kitahara
,
R.
,
Saito
,
T.
,
Yamazaki
,
T.
, and
Usami
,
T.
,
1985
, “
Vertical Hydraulic Transportation of Large Solid Materials
,”
J. Min. Saf.
,
31
(
3
), pp.
34
45
(in Japanese).
9.
Ayukawa
,
K.
, and
Ochi
,
J.
,
1967
, “
Pressure Loss in Horizontal Pipe Hydraulic Transport of Solids
,”
Trans. JSME, Part 2
,
33
(
254
), pp.
1625
1632
(in Japanese).
10.
Iwanami
,
S.
,
Kato
,
H.
, and
Yamane
,
R.
,
1963
, “
Pressure Drop in Hydraulic Conveyor Through a Horizontal Straight Pipe
,”
Trans. JSME, Part 2
,
29
(
275
), pp.
1735
1742
(in Japanese).
11.
Yoon
,
C. H.
,
Lee
,
D. K.
,
Park
,
Y. C.
, and
Kwon
,
S. K.
,
2005
, “
On-Land Hydraulic Pumping Experiments of 30-Meter Height Scale
,”
15th International Offshore and Polar Engineering Conference
(
ISOPE
), Seoul, South Korea, June 19–24, pp.
417
420
.
12.
Worster
,
R. C.
, and
Denny
,
D. F.
,
1955
, “
Hydraulic Transport of Solid Material in Pipes
,”
Proc. Inst. Mech. Eng.
,
169
(
32
), pp.
563
573
.
13.
Graf
,
W. H.
,
1971
,
Hydraulic of Sediment Transport
,
McGraw-Hill
, New York, Chap. 15.
14.
Kawashima
,
T.
, and
Noda
,
K.
,
1970
, “
Hydraulic Transport of Solids in an Inclined Pipe: Theoretical and Experimental Studies on Pressure Loss
,”
Hydrotransport 1: First International Conference on the Hydraulic Transport of Solids in Pipes
, Coventry, UK, Sept. 1–4, pp.
J6-97
J6-111
.
15.
Noda
,
K.
,
1975
, “
Study on Hydraulic Transport of Large Solids in an Inclined Pipe
,” Ph.D. thesis, Tohoku University, Miyagi, Japan (in Japanese).
16.
Masanobu
,
S.
,
Takano
,
S.
,
Fujiwara
,
T.
,
Kanada
,
S.
, and
Ono
,
M.
,
2015
, “
Experimental Studies of Pressure Loss in Inclined Pipe in Slurry Transport for Subsea Mining
,”
ASME
Paper No. OMAE2015-41211.
17.
Terada
,
S.
,
1973
,
Pipe Transport of Slurry
,
Rikoh Tosho
,
Tokyo, Japan
, Chap. 2 (in Japanese).
18.
Parenteau
,
T.
,
2011
, “
Flow Assurance for Deep Ocean Mining—Pressure Requirement Through S-Shape Riser and Jumper
,”
Offshore Technology Conference
(OTC), Houston, TX, May 2–5,
SPE
Paper No. OTC-21237.
19.
Saito
,
T.
,
Usami
,
T.
,
Kitahara
,
R.
, and
Yamazaki
,
T.
,
1985
, “
Studies on Hydraulic Properties of Large and Nonspherical Particles
,”
J. Min. Saf.
,
31
(
3
), pp.
25
33
(in Japanese).
20.
Richardson
,
J. F.
, and
Zaki
,
W. N.
,
1954
, “
Sedimentation and Fluidisation: Part 1
,”
Trans. Inst. Chem. Eng.
,
32
, pp.
35
53
.
21.
Hino
,
M.
,
1992
,
Fluid Mechanics
,
Asakura Publishing
,
Tokyo, Japan
, Chap. 15 (in Japanese).
22.
Sato
,
H.
,
Otsuka
,
K.
, and
Cui
,
Y.
,
1993
, “
A Comparative Study of Sliding Friction for Settling Slurry in a Pipe
,”
J. MMIJ
,
109
(
3
), pp.
195
201
(in Japanese).
23.
Eyler
,
L. L.
, and
Lombardo
,
N. J.
,
1980
, “
FY-1979 Progress Report Hydrotransport Plugging Study
,” Pacific Northwest Laboratory, Richland, WA, Report No.
PNL-3203
.
24.
Mizuno
,
M.
,
Asakura
,
K.
, and
Tsuno
,
S.
,
2004
, “
Motion of Spherical Particles in a Rotating Rectangle Vessel Filled With Water
,”
J. MMIJ
,
120
(
2
), pp.
99
105
(in Japanese).
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