Abstract

Downhole drilling operations expose all-metal positive displacement motors (AMPDM) to abrasives of different sizes, causing serious abrasive wear behavior. Controlling the entry of large particles into the motor by installing a filter can effectively reduce wear conditions and improve its lifespan. This study investigated the particle size effect on abrasive wear to seek an appropriate filter size for AMPDM. The multi-function tribo-tester was modified according to the actual working conditions of the stator and rotor. The tribological properties of stator material (nitrided 38CrMoAl steel) against rotor material (YL10.2 cemented carbide) were conducted using SiO2 particles with 1–500 μm sizes in the range on a pin-on-disc tribo-tester under wet sliding-vibration conditions. The results showed more complicated friction coefficient evolution characteristics for small particles, existing two stable stages. Two critical-size values of average wear-rate and wear mechanism transformation are determined. The wear products of the tribochemical reaction were determined. The filter porosity of about 200 μm may be an optimal selection to decrease wear. This work has developed new insights into how AMPDM responds to changing abrasive sizes and provides a proposal for controlling the entry size of abrasive particles.

References

1.
Stefánsson
,
A.
,
Duerholt
,
R.
,
Schroder
,
J.
,
Macpherson
,
J.
,
Hohl
,
C.
,
Kruspe
,
T.
, and
Eriksen
,
T.-J.
,
2018
, “
A 300 Degree Celsius Directional Drilling System
,”
Mar. 6
,
SPE
,
Fort Worth, TX
, p.
D011S003R003
.
2.
Pearson
,
A.
,
Luchak
,
M.
, and
Curle
,
R.
,
2023
, “
All Metal Wellbore Intervention Tools as an Alternative to Motors
,”
Feb. 19
,
SPE
,
Manama, Bahrain
, p.
D011S040R003
.
3.
Wei
,
D.
,
Sun
,
Q.
,
Li
,
M.
,
Yu
,
X.
,
Luo
,
X.-C.
,
Liu
,
F.
, and
Wang
,
X.-K.
,
2024
, “
Study on Fit Clearance and Motion Performance of All-Metal PDM
,”
Proceedings of the International Field Exploration and Development Conference 2023
,
Singapore
,
Mar. 10
,
Springer Nature Singapore
, pp.
199
210
.
4.
Lu
,
J.-X.
,
Kong
,
L.-R.
,
Wang
,
Y.
,
Feng
,
C.
, and
Gao
,
Y.-L.
,
2024
, “
Optimized Parameters of Downhole All-Metal PDM Based on Genetic Algorithm
,”
Pet. Sci.
,
21
(
4
), pp.
2663
2676
.
5.
Lu
,
J.
,
Wang
,
Y.
,
Kong
,
L.
, and
Li
,
J.
,
2023
, “
Analysis of Output Performance of All-Metal Progressive Cavity Motor
,”
Geoenergy Sci. Eng.
,
222
, p.
211456
.
6.
Feng
,
D.
,
Shen
,
M.
,
Peng
,
X.
, and
Meng
,
X.
,
2017
, “
Surface Roughness Effect on the Friction and Wear Behaviour of Acrylonitrile–Butadiene Rubber (NBR) Under Oil Lubrication
,”
Tribol. Lett.
,
65
(
1
), p.
10
.
7.
Zhou
,
Q.
,
Li
,
S.
,
Zhang
,
K.
,
Qin
,
K.
,
Lv
,
M.
,
Sun
,
W.
, and
Yuan
,
T.
,
2021
, “
Transitions of Wear Characteristics for Rubber/Steel Seal Pairs During the Abrasive Wear Process
,”
Tribol. Lett.
,
69
(
3
), p.
101
.
8.
Tilly
,
G. P.
, and
Sage
,
W.
,
1970
, “
The Interaction of Particle and Material Behaviour in Erosion Processes
,”
Wear
,
16
(
6
), pp.
447
465
.
9.
Miaofen
,
L.
,
Youmin
,
L.
,
Tianyang
,
W.
,
Fulei
,
C.
, and
Zhike
,
P.
,
2023
, “
Adaptive Synchronous Demodulation Transform With Application to Analyzing Multicomponent Signals for Machinery Fault Diagnostics
,”
Mech. Syst. Signal Process
,
191
, p.
110208
.
10.
Qin
,
K.
,
Zhou
,
Q.
,
Zhang
,
K.
,
Feng
,
Y.
,
Zhang
,
T.
,
Zheng
,
G.
,
Xia
,
B.
, and
Liu
,
B.
,
2019
, “
Non-Uniform Abrasive Particle Size Effects on Friction Characteristics of FKM O-Ring Seals Under Three-Body Abrasion
,”
Tribol. Int.
,
136
, pp.
216
223
.
11.
Shen
,
M.
,
Zheng
,
J.
,
Meng
,
X.
,
Li
,
X.
, and
Peng
,
X.
,
2015
, “
Influence of Al2O3 Particles on the Friction and Wear Behaviors of Nitrile Rubber Against 316L Stainless Steel
,”
J. Zhejiang Univ. Sci. A
,
16
(
2
), pp.
151
160
.
12.
Stanković
,
M.
,
Marinković
,
A.
,
Grbović
,
A.
,
Mišković
,
Ž
,
Rosić
,
B.
, and
Mitrović
,
R.
,
2019
, “
Determination of Archard's Wear Coefficient and Wear Simulation of Sliding Bearings
,”
ILT
,
71
(
1
), pp.
119
125
.
13.
Sun
,
Y.
,
Gu
,
R.
,
Qu
,
W.
,
Zhao
,
N.
, and
Chen
,
L.
,
2019
, “Finite Element Contact and Wear Analysis of Stator and Rotor in a Screw Pump,” p. 2019-01-0813. .
14.
Trevisiol
,
C.
,
Jourani
,
A.
, and
Bouvier
,
S.
,
2017
, “
Effect of Hardness, Microstructure, Normal Load and Abrasive Size on Friction and on Wear Behaviour of 35NCD16 Steel
,”
Wear
,
388–389
, pp.
101
111
.
15.
Sun
,
Q.
,
Lyu
,
G.
,
Liu
,
X.
,
Niu
,
F.
, and
Gan
,
C.
,
2024
, “
Virtual Current Compensation-Based Quasi-Sinusoidal-Wave Excitation Scheme for Switched Reluctance Motor Drives
,”
IEEE Trans. Ind. Electron.
,
71
(
9
), pp.
10162
10172
.
16.
Date
,
S. W.
, and
Malkin
,
S.
,
1976
, “
Effects of Grit Size on Abrasion With Coated Abrasives
,”
Wear
,
40
(
2
), pp.
223
235
.
17.
Yue
,
C.
,
Cai
,
H.
,
Kong
,
L.
,
Liang
,
C.
,
Peng
,
Z.
, and
Wang
,
Y.
,
2022
, “
Wear Behaviors of AISI 4145H Drilling Tool Steel Under Drilling Fluid Environment Conditions
,”
Materials
,
15
(
3
), p.
1221
.
18.
Cai
,
H.
,
Wang
,
Y.
, and
Peng
,
Z.
,
2021
, “
Abrasive Wear Behaviors of 4145H Drilling Tool Steel in Water-Based Slurries of Different Sands
,”
Tribol. Trans.
,
64
(
5
), pp.
784
794
.
19.
Ren
,
X.
,
Peng
,
Z.
,
Hu
,
Y.
,
Rong
,
H.
,
Wang
,
C.
,
Fu
,
Z.
,
Qi
,
L.
, and
Miao
,
H.
,
2014
, “
Three-Body Abrasion Behavior of Ultrafine WC–Co Hardmetal RX8UF With Carborundum, Corundum and Silica Sands in Water-Based Slurries
,”
Tribol. Int.
,
80
, pp.
179
190
.
20.
Rong
,
H.
,
Peng
,
Z.
,
Hu
,
Y.
,
Wang
,
C.
,
Yue
,
W.
,
Fu
,
Z.
, and
Lin
,
X.
,
2011
, “
Dependence of Wear Behaviors of Hardmetal YG8B on Coarse Abrasive Types and Their Slurry Concentrations
,”
Wear
,
271
(
7–8
), pp.
1156
1165
.
21.
Zhou
,
Z.
,
Zhou
,
Q.
,
Zhang
,
K.
,
Wei
,
T.
,
Di
,
Y.
,
Wang
,
Y.
, and
Qin
,
K.
,
2024
, “
Failure of Protection Against Particle Invasion in Hard/Soft Dynamic Seal: Modeling and Observation
,”
Eng. Fail. Anal.
,
160
, p.
108219
.
22.
Thakare
,
M. R.
,
Wharton
,
J. A.
,
Wood
,
R. J. K.
, and
Menger
,
C.
,
2012
, “
Effect of Abrasive Particle Size and the Influence of Microstructure on the Wear Mechanisms in Wear-Resistant Materials
,”
Wear
,
276–277
, pp.
16
28
.
23.
Wang
,
Z.
,
Zhou
,
T.
,
Zhang
,
S.
,
Sun
,
C.
,
Li
,
J.
, and
Tan
,
J.
,
2023
, “
BO-LSTM Based Cross-Sectional Profile Sequence Progressive Prediction Method for Metal Tube Rotate Draw Bending
,”
Adv. Eng. Inform
,
58
, p.
102152
.
24.
Sun
,
J.
,
Wang
,
L.
,
Li
,
J.
,
Li
,
F.
, and
Fang
,
Y.
,
2024
, “
An On-Line Imaging Sensor Based on Magnetic Deposition and Flowing Dispersion for Wear Debris Feature Monitoring
,”
Mech. Syst. Signal Process.
,
212
, p.
111321
.
25.
Li
,
X.
,
Liu
,
Y.
,
Ge
,
L.
, and
Zhang
,
Z.
,
2024
, “
A Large-Stroke Reluctance-Actuated Nanopositioner: Compliant Compensator for Enhanced Linearity and Precision Motion Control
,”
IEEE/ASME Trans. Mechatron.
,
29
(
4
), pp.
2947
2955
.
26.
Das
,
R.
,
Nayak
,
N.
,
Barshilia
,
H. C.
, and
Joshi
,
S. S.
,
2016
, “
Wear and Progression of Life of Plasma Nitrided Four-Faceted High-Speed Steel Drills With Varying Geometries
,”
Proc. Inst. Mech. Eng., Part B
,
230
(
10
), pp.
1885
1896
.
27.
Alphonse
,
M.
,
Bupesh Raja
,
V. K.
, and
Gupta
,
M.
,
2021
, “
Optimization of Plasma Nitrided, Liquid Nitrided & PVD TiN Coated H13-D2 Friction Drilling Tool on AZ31B Magnesium Alloy
,”
Mater. Today: Proc.
,
46
, pp.
9520
9528
.
28.
Liu
,
L.
,
Zhang
,
K.
,
Wang
,
Y.
,
Kong
,
L.
, and
Xu
,
Y.
,
2024
, “
Erosion of 38CrMoAlA Drilling Tool Steel in Slurry: Effect of Particle Concentration on Downhole Tool Clearance Material
,”
J. Mater. Eng. Perform.
,
33
(
2
), pp.
556
570
.
29.
Liu
,
L.
,
Wang
,
Y.
,
Zhang
,
K.
, and
Kong
,
L.
,
2023
, “
Uneven Wear Behavior of Downhole Tool Clearance Material Under Slurry Erosion
,”
Alexandria Eng. J.
,
73
, pp.
47
68
.
30.
Liu
,
D.
,
You
,
Y.
,
Yan
,
M.
,
Chen
,
H.
,
Li
,
R.
,
Hong
,
L.
, and
Han
,
T.
,
2021
, “
Acceleration of Plasma Nitriding at 550 °C With Rare Earth on the Surface of 38CrMoAl Steel
,”
Coatings
,
11
(
9
), p.
1122
.
31.
Chen
,
Y.
,
Song
,
L.
,
Zhang
,
C.
,
Ye
,
X.
,
Song
,
R.
,
Wang
,
Z.
,
Zhao
,
X.
, and
Hu
,
J.
,
2017
, “
Plasma Nitriding Without Formation of Compound Layer for 38CrMoAl Hydraulic Plunger
,”
Vacuum
,
143
, pp.
98
101
.
32.
Liu
,
L.
,
Zhang
,
K.
, and
Wang
,
Y.
,
2024
, “
Baffle Effect of Exposed WC Particles in the Clearance on Slurry Erosion Behavior of Cemented Carbide Surface
,”
Mater. Today Commun.
,
39
, p.
109071
.
33.
Liang
,
C.
,
Wang
,
Y.
,
Zhang
,
K.
, and
Peng
,
Z.
,
2021
, “
Dry Sliding Behavior of Qbe-2 Beryllium Bronze Against 38CrMoAlA Steel in Pneumatic Downhole Motor Under Different Loads
,”
Metals
,
11
(
3
), p.
459
.
34.
Gates
,
J. D.
,
1998
, “
Two-Body and Three-Body Abrasion: A Critical Discussion
,”
Wear
,
214
(
1
), pp.
139
146
.
35.
Dwyer-Joyce
,
R. S.
,
Sayles
,
R. S.
, and
Ioannides
,
E.
,
1994
, “
An Investigation Into the Mechanisms of Closed Three-Body Abrasive Wear
,”
Wear
,
175
(
1
), pp.
133
142
.
36.
Petrica
,
M.
,
Katsich
,
C.
,
Badisch
,
E.
, and
Kremsner
,
F.
,
2013
, “
Study of Abrasive Wear Phenomena in Dry and Slurry 3-Body Conditions
,”
Tribol. Int.
,
64
, pp.
196
203
.
37.
Cao
,
G.
,
Zhang
,
J.
,
Guo
,
Y.
,
Liu
,
C.
,
Micheal
,
M.
,
Lv
,
C.
,
Yu
,
H.
, and
Wu
,
H.
,
2022
, “
Numerical Modeling on Friction and Wear Behaviors of All-Metal Progressive Cavity Pump
,”
J. Pet. Sci. Eng.
,
213
, p.
110443
.
38.
Yuan
,
C.
,
Guo
,
Z.
,
Tao
,
W.
,
Dong
,
C.
, and
Bai
,
X.
,
2017
, “
Effects of Different Grain Sized Sands on Wear Behaviours of NBR/Casting Copper Alloys
,”
Wear
,
384–385
, pp.
185
191
.
39.
Khonsari
,
M. M.
,
Ghatrehsamani
,
S.
, and
Akbarzadeh
,
S.
,
2021
, “
On the Running-in Nature of Metallic Tribo-Components: A Review
,”
Wear
,
474–475
, p.
203871
.
40.
Sahariah
,
B. J.
,
Vashishtha
,
N.
, and
Sapate
,
S. G.
,
2018
, “
Effect of Abrasive Particle Size on Friction and Wear Behaviour of HVOF Sprayed WC-10Co-4Cr Coating
,”
Mater. Res. Express
,
5
(
6
), p.
066424
.
41.
Ji
,
D.-H.
,
Zhuang
,
H.
,
Hu
,
Q.
,
Yao
,
H.
,
Zhang
,
Y.
,
Guo
,
H.
,
Zhao
,
H.
, and
Shen
,
M.
,
2022
, “
Effect of Abrasive Particle Size on the Tribological Behavior of Thermal Sprayed WC-Cr3C2-Ni Coatings
,”
J. Alloys Compd.
,
924
, p.
166536
.
42.
Ye
,
W.
,
Xie
,
M.
,
Huang
,
Z.
,
Wang
,
H.
,
Zhou
,
Q.
,
Wang
,
L.
,
Chen
,
B.
,
Wang
,
H.
, and
Liu
,
W.
,
2023
, “
Microstructure and Tribological Properties of In-Situ Carbide/CoCrFeNiMn High Entropy Alloy Composites Synthesized by Flake Powder Metallurgy
,”
Tribol. Int.
,
181
, p.
108295
.
43.
Sakka
,
M. M.
,
Antar
,
Z.
,
Elleuch
,
K.
, and
Feller
,
J. F.
,
2017
, “
Tribological Response of an Epoxy Matrix Filled With Graphite and/or Carbon Nanotubes
,”
Friction
,
5
(
2
), pp.
171
182
.
44.
Shen
,
M.
,
Li
,
B.
,
Zhang
,
Z.
,
Zhao
,
L.
, and
Xiong
,
G.
,
2020
, “
Abrasive Wear Behavior of PTFE for Seal Applications Under Abrasive-Atmosphere Sliding Condition
,”
Friction
,
8
(
4
), pp.
755
767
.
45.
Xie
,
M.-D.
,
Ye
,
W.-T.
,
Zhou
,
Q.
,
Jia
,
L.
,
Chen
,
B.
,
Zhang
,
M.-Q.
, and
Wang
,
H.-F.
,
2024
, “
A Novel CoCrNi-Based Medium-Entropy Alloy Self-Lubricating Composite With Superior Wear Performance
,”
Rare Met.
46.
Yan
,
X.
,
Chang
,
C.
,
Deng
,
Z.
,
Lu
,
B.
,
Chu
,
Q.
,
Chen
,
X.
,
Ma
,
W.
,
Liao
,
H.
, and
Liu
,
M.
,
2021
, “
Microstructure, Interface Characteristics and Tribological Properties of Laser Cladded NiCrBSi-WC Coatings on PH 13-8 Mo Steel
,”
Tribol. Int.
,
157
, p.
106873
.
47.
Coronado
,
J. J.
,
2015
, “
Abrasive Size Effect on Friction Coefficient of AISI 1045 Steel and 6061-T6 Aluminium Alloy in Two-Body Abrasive Wear
,”
Tribol. Lett.
,
60
(
3
), p.
40
.
48.
Larsen-Badse
,
J.
,
1968
, “
Influence of Grit Diameter and Specimen Size on Wear During Sliding Abrasion
,”
Wear
,
12
(
1
), pp.
35
53
.
49.
Gåhlin
,
R.
, and
Jacobson
,
S.
,
1999
, “
The Particle Size Effect in Abrasion Studied by Controlled Abrasive Surfaces
,”
Wear
,
224
(
1
), pp.
118
125
.
50.
Sasada
,
T.
,
Oike
,
M.
, and
Emori
,
N.
,
1984
, “
The Effect of Abrasive Grain Size on the Transition Between Abrasive and Adhesive Wear
,”
Wear
,
97
(
3
), pp.
291
302
.
51.
Bigerelle
,
M.
,
Giljean
,
S.
, and
Mathia
,
T. G.
,
2011
, “
Multiscale Characteristic Lengths of Abraded Surfaces: Three Stages of the Grit-Size Effect
,”
Tribol. Int.
,
44
(
1
), pp.
63
80
.
52.
Hokkirigawa
,
K.
, and
Kato
,
K.
,
1988
, “
An Experimental and Theoretical Investigation of Ploughing, Cutting and Wedge Formation During Abrasive Wear
,”
Tribol. Int.
,
21
(
1
), pp.
51
57
.
53.
Shao
,
L.
,
Xue
,
N.
,
Li
,
W.
,
Liu
,
S.
,
Tu
,
Z.
,
Chen
,
Y.
,
Zhang
,
J.
, et al
,
2023
, “
Effect of Cold-Spray Parameters on Surface Roughness, Thickness and Adhesion of Copper-Based Composite Coating on Aluminum Alloy 6061 T6 Substrate
,”
Processes
,
11
(
3
), p.
959
.
54.
Persson
,
B. N. J.
,
2023
, “
On the Use of Surface Roughness Parameters
,”
Tribol. Lett.
,
71
(
2
), p.
29
.
55.
Li
,
J.
,
Wu
,
X.
, and
Wu
,
L.
,
2024
, “
A Computationally-Efficient Analytical Model for SPM Machines Considering PM Shaping and Property Distribution
,”
IEEE Trans. Energy Convers.
,
39
(
2
), pp.
1034
1046
.
56.
Krelling
,
A. P.
,
Teixeira
,
F.
,
Da Costa
,
C. E.
,
Almeida
,
E. A. D. S. D.
,
Zappelino
,
B.
, and
Milan
,
J. C. G.
,
2019
, “
Microabrasive Wear Behavior of Borided Steel Abraded by SiO2 Particles
,”
J. Mater. Res. Technol.
,
8
(
1
), pp.
766
776
.
57.
Murthy
,
B. V.
,
Auradi
,
V.
,
Nagaral
,
M.
,
Vatnalmath
,
M.
,
Namdev
,
N.
,
Anjinappa
,
C.
,
Patil
,
S.
, et al
,
2023
, “
Al2014–Alumina Aerospace Composites: Particle Size Impacts on Microstructure, Mechanical, Fractography, and Wear Characteristics
,”
ACS Omega
,
8
(
14
), pp.
13444
13455
.
58.
Yuhua
,
C.
,
Yuqing
,
M.
,
Weiwei
,
L.
, and
Peng
,
H.
,
2017
, “
Investigation of Welding Crack in Micro Laser Welded NiTiNb Shape Memory Alloy and Ti6Al4 V Alloy Dissimilar Metals Joints
,”
Opt. Laser Technol.
,
91
, pp.
197
202
.
59.
Zhi
,
S.
,
Shen
,
H.
, and
Wang
,
T.
,
2024
, “
Gearbox Localized Fault Detection Based on Meshing Frequency Modulation Analysis
,”
Appl. Acoust.
,
219
, p.
109943
.
60.
Choi
,
Y.
, and
Liu
,
C. R.
,
2007
, “
Spall Progression Life Model for Rolling Contact Verified by Finish Hard Machined Surfaces
,”
Wear
,
262
(
1–2
), pp.
24
35
.
61.
Stachowiak
,
G. B.
, and
Stachowiak
,
G. W.
,
2001
, “
The Effects of Particle Characteristics on Three-Body Abrasive Wear
,”
Wear
,
249
(
3–4
), pp.
201
207
.
62.
Han
,
Q.
,
Ding
,
Z.
,
Qin
,
Z.
,
Wang
,
T.
,
Xu
,
X.
, and
Chu
,
F.
,
2020
, “
A Triboelectric Rolling Ball Bearing With Self-Powering and Self-Sensing Capabilities
,”
Nano Energy
,
67
, p.
104277
.
63.
De Pellegrin
,
D. V.
,
Torrance
,
A. A.
, and
Haran
,
E.
,
2009
, “
Wear Mechanisms and Scale Effects in Two-Body Abrasion
,”
Wear
,
266
(
1–2
), pp.
13
20
.
64.
Moore
,
M. A.
, and
Douthwaite
,
R. M.
,
1976
, “
Plastic Deformation Below Worn Surfaces
,”
Metall. Trans. A.
,
7
(
12
), pp.
1833
1839
.
65.
Vereda
,
F.
,
De Vicente
,
J.
,
Morales
,
M. D. P.
,
Rull
,
F.
, and
Hidalgo-Álvarez
,
R.
,
2008
, “
Synthesis and Characterization of Single-Domain Monocrystalline Magnetite Particles by Oxidative Aging of Fe(OH) 2
,”
J. Phys. Chem. C
,
112
(
15
), pp.
5843
5849
.
66.
Du
,
M.
,
Xu
,
C.
,
Sun
,
J.
, and
Gao
,
L.
,
2013
, “
Synthesis of α-Fe2O3 Nanoparticles From Fe(OH)3 Sol and Their Composite With Reduced Graphene Oxide for Lithium Ion Batteries
,”
J. Mater. Chem. A
,
1
(
24
), p.
7154
.
67.
Mao
,
L.
,
Cai
,
M.
, and
Wang
,
G.
,
2018
, “
Effect of Rotation Speed on the Abrasive–Erosive–Corrosive Wear of Steel Pipes Against Steel Casings Used in Drilling for Petroleum
,”
Wear
,
410–411
, pp.
1
10
.
68.
Ma
,
H. Y.
,
Yang
,
C.
,
Li
,
G. Y.
,
Guo
,
W. J.
,
Chen
,
S. H.
, and
Luo
,
J. L.
,
2003
, “
Influence of Nitrate and Chloride Ions on the Corrosion of Iron
,”
Corrosion
,
59
(
12
), pp.
1112
1119
.
69.
Kuai
,
J. C.
,
2014
, “
Discovery of α-Fe2O3 in the Oxide Film on ELID Grinding Wheel
,”
Adv. Mat. Res.
,
1061–1062
, pp.
446
449
. .
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