Modeling and Experimental Study on Motion States of Laboratory-Scale Bottom Hole Assembly in Horizontal Wells
Abstract
:1. Introduction
2. Dynamic Model
2.1. Basic Assumptions
- (1)
- The inner wall of wellbore is regarded as a continuous and uniform circular cross section;
- (2)
- The BHA is regarded as an elastic beam with homogeneous geometric characteristics and material properties and its deformation is within the linear elastic range;
- (3)
- Neglect the effect of bit-rock interaction, and the drill bit is used to bear the WOB and steady the BHA at the center part of the wellbore.
2.2. Dynamic Equations
2.3. Contact Model
3. Indoor Experiment
3.1. Experimental Setup
3.2. Similarity Criterion
3.3. Parameter Selection
4. Result and Discussion
4.1. Effects of Measuring Position
4.2. Effects of Rotate Speed
4.3. Effects of WOB
4.4. Effects of Friction Coefficient
5. Conclusions
- (1)
- The experimental results can match well with the numerical simulation results and it can prove that the BHA dynamic model is reasonable for analysing the motion states of BHA in horizontal wells.
- (2)
- The motion states of BHA in horizontal wells can be divided into three kinds, including circular arc swing, “8” shape swing, and dot-like circular motion. The circular arc swing mainly appears at the middle section of BHA and occurs through the collective result of gravity and friction. The dot-like circular motion mainly appears at the near-bit or near-stabilizer area because bit and stabilizer can steady the BHA at the center part of the wellbore. The “8” shape swing mainly appears at the crossed area and occurs through collective disturbance of the other two motions.
- (3)
- The rotate speed and friction coefficient have promotions on the lateral vibration, while WOB have a much smaller effect compared with the other two parameters. From the drilling engineering standpoint, a lower rotate speed is recommended as long as rotate speed can meet the requirement of ROP and thus it can protect downhole tools from fatigue failure or damage. A slightly large WOB is recommended in order to improve the ROP. Moreover, the rock stratum with a larger friction coefficient can make lateral vibration more violent and the drilling construction needs more attention.
- (4)
- The main purpose of the paper is to verify the full-dimensional continuous model. Thus, all the results are based on the small-scale model, instead of field-scale prototype. It is important to verify the given model and then the field-scale researches will be carried out in further study with the verified model. The effects of stabilizer will be studied in further study.
Author Contributions
Funding
Conflicts of Interest
References
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Measuring Position | m1 | m2 | m3 | m4 |
---|---|---|---|---|
Numerical model (m) | 0.05 | 0.1 | 0.3 | 1.0 |
Experimental model (m) | 0.05 | 0.1 | 0.3 | 1.0 |
Engineering prototype (m) | 2.15 | 4.3 | 12.9 | 43.0 |
Rotate Speed | ω1 | ω2 | ω3 | ω4 |
---|---|---|---|---|
Numerical model (r/min) | 100 | 300 | 500 | 700 |
Experimental model (r/min) | 100 | 300 | 500 | 700 |
Engineering prototype (r/min) | 25 | 75 | 125 | 175 |
WOB | W1 | W2 | W3 | W4 |
---|---|---|---|---|
Numerical model (N) | 0 | 0.23 | 0.46 | 0.69 |
Experimental model (N) | 0 | 0.23 | 0.46 | 0.69 |
Engineering prototype (kN) | 0 | 30 | 60 | 90 |
Friction Coefficient | μ1 | μ2 | μ3 | μ4 |
---|---|---|---|---|
Numerical model | 0.1 | 0.2 | 0.3 | 0.4 |
Engineering prototype | 0.1 | 0.2 | 0.3 | 0.4 |
Property | Value | Units |
---|---|---|
Length of collar | 2 | m |
Outer diameter of collar | 5 | mm |
Outer diameter of bit | 8 | mm |
Inner diameter of wellbore | 8 | mm |
Density of collar | 1200 | kg/m3 |
Elasticity modulus of collar | 3 | GPa |
Poisson ratio of collar | 0.47 | - |
Measuring Position | X-Direction | Y-Direction |
---|---|---|
1.0 m from the drill bit | 0.70 mm | 0.20 mm |
0.3 m from the drill bit | 0.49 mm | 0.17 mm |
0.1 m from the drill bit | 0.35 mm | 0.14 mm |
0.05 m from the drill bit | 0.13 mm | 0.10 mm |
Measuring Position | X-Direction | Y-Direction |
---|---|---|
1.0 m from the drill bit | 1.29 mm | 1.10 mm |
0.3 m from the drill bit | 1.13 mm | 0.87 mm |
0.1 m from the drill bit | 0.78 mm | 0.55 mm |
0.05 m from the drill bit | 0.48 mm | 0.32 mm |
Rotate Speed | X-Direction | Y-Direction |
---|---|---|
100 r/min | 0.70 mm | 0.20 mm |
300 r/min | 0.86 mm | 0.27 mm |
500 r/min | 1.12 mm | 0.50 mm |
700 r/min | 1.76 mm | 0.84 mm |
Rotate Speed | X-Direction | Y-Direction |
---|---|---|
100 r/min | 1.29 mm | 1.10 mm |
300 r/min | 1.35 mm | 1.21 mm |
500 r/min | 1.45 mm | 1.28 mm |
700 r/min | 1.70 mm | 1.35 mm |
WOB | X-Direction | Y-Direction |
---|---|---|
0 N | 0.70 mm | 0.20 mm |
0.23 N | 0.67 mm | 0.19 mm |
0.46 N | 0.70 mm | 0.20 mm |
0.69 N | 0.72 mm | 0.22 mm |
WOB | X-Direction | Y-Direction |
---|---|---|
0 N | 1.29 mm | 1.10 mm |
0.23 N | 1.31 mm | 1.13 mm |
0.46 N | 1.30 mm | 1.15 mm |
0.69 N | 1.29 mm | 1.11 mm |
Friction Coefficient | X-Direction | Y-Direction |
---|---|---|
0.1 | 0.15 mm | 0.12 mm |
0.2 | 0.86 mm | 0.27 mm |
0.3 | 0.89 mm | 0.38 mm |
0.4 | 1.08 mm | 0.48 mm |
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Li, W.; Huang, G.; Ni, H.; Yu, F.; Jiang, W. Modeling and Experimental Study on Motion States of Laboratory-Scale Bottom Hole Assembly in Horizontal Wells. Energies 2020, 13, 925. https://doi.org/10.3390/en13040925
Li W, Huang G, Ni H, Yu F, Jiang W. Modeling and Experimental Study on Motion States of Laboratory-Scale Bottom Hole Assembly in Horizontal Wells. Energies. 2020; 13(4):925. https://doi.org/10.3390/en13040925
Chicago/Turabian StyleLi, Wei, Genlu Huang, Hongjian Ni, Fan Yu, and Wu Jiang. 2020. "Modeling and Experimental Study on Motion States of Laboratory-Scale Bottom Hole Assembly in Horizontal Wells" Energies 13, no. 4: 925. https://doi.org/10.3390/en13040925