Numerical Simulation of Natural Gas Hydrate Exploitation in Complex Structure Wells: Productivity Improvement Analysis
Abstract
:1. Introduction
2. Model Establishment and Verification
2.1. Mathematical Model Establishment
- Free/decomposition gas component:
- Water component:
- Hydrate component:
2.2. Reservoir Characteristics
2.3. Wellbore Structure Grouping
2.4. Verification of the Feasibility of Model
3. Simulation Results of Depressurization
3.1. Single Vertical Well and Single Horizontal Well
3.2. Multi-Branch Vertical Well
3.3. Multi-Branch Horizontal Well
3.4. Cluster Horizontal Well
4. Discussion
5. Conclusions
- A mathematical model of NGH reservoir exploitation was established, taking into account the phase equilibrium of hydrate decomposition, hydrate decomposition kinetics, mass conservation, energy conservation, heat conduction and heat convection.
- Using CMG-STARS, a total of 13 sets of numerical models of complex structure wells were established, and then the reliability of the model was verified by adopting the first test production parameters of the Nankai Trough in Japan and fitting them with the gas and water production data.
- The simulation results show that, when the pressure drop is the same, complex structure wells can increase the contact area compared with a single well, increasing productivity. In particular, CHW4 has the most significant improvement in exploitation efficiency, 2.2 times that of HW in a one-year exploitation cycle.
- Complex structure wells have certain application prospects in the exploitation of marine NGH, but they also face a series of wellbore and formation instability problems. In the future, it is necessary to further improve the existing numerical models, strengthen the research of drilling technology and technology, and develop related marine engineering supporting facilities to ensure safe and stable exploitation.
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
Abbreviations
NGH | Natural gas hydrate |
MHEZ | Methane hydrate enrichment zone |
VW | Vertical well |
HW | Horizontal well |
MVW1~4 | Multi-branch vertical well (1~4 Branch) |
MHW1~4 | Multi-branch horizontal well (1~4 Branch) |
CHW2~4 | Cluster horizontal well (2~4 Branch) |
Nomenclatures
A, B, C, q | constant |
Ad | total surface area of the hydrate particles (m2) |
Ahs, Adec | decomposition surface area (m2) |
ch | hydrate concentration (gmol/m3) |
Cr, Cg, Cw, Ch, Ci | specific heat of rock, gas, water, hydrate and ice (J/g/K) |
E | the activation energy (J) |
fe | fugacity of methane at the three phase equilibrium condition |
fg | fugacity of methane in the gas phase |
k | permeability (mD) |
kd | hydrate decomposition rate constant |
kod | intrinsic decomposition rate constant |
kof | intrinsic formation rate constant |
krg, krw, krh | relative permeability of each phase (mD) |
ṁg, ṁh, ṁw | masses of gas, water, and hydrates decomposed per unit time (kg/s) |
n, Nh | hydration number |
Pe | hydrate three-phase equilibrium pressure (kPa) |
Pg | gas phase pressure (kPa) |
Pw | pressures measured at the monitoring points (MPa) |
qg, qw, qh | injection/output quality per unit time and unit volume (kg/m3/s) |
Qd | average daily gas production value (m3/d) |
Qt | gas production rate (m3/d) |
Qw | water production rate (m3/d) |
R | universal gas constant |
Sg, Sw, Sh, Si | saturation of gas, water, hydrates and ice |
t | time (s) |
v | reaction speed (m3/s) |
Vc | cumulative gas production (m3) |
xi, yi | mole fractions of methane in gas and liquid phase |
ΔHh, ΔHi | heat absorbed/released per mole (J/mol) |
λr, λg, λw, λh, λi | thermal conductivity of rock, gas, water, hydrate and ice (W/m/K) |
μg, μw, μh | viscosity of each component (mPa s) |
ρg, ρw, ρh, ρr | density of gas, water and hydrates and rock (kg/m3) |
ϕ | porosity of the medium |
Appendix A. The Specific NGH Decomposition/Formation Principle, Numerical Method and the Derivation of Differential Equation
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Parameter | Value | Parameter | Value |
---|---|---|---|
NGH reservoir thickness/(m) | 60 | NGH saturation | 0.6 |
Thickness of overlying/underlying layer/(m) | 30 | Porosity | 0.4 |
Geothermal gradient/(°C/m) | 0.03 | Lateral permeability/(mD) | 10 |
Longitudinal permeability/(mD) | 5 | Pressure gradient/(kPa/m) | 10 |
NGH molar mass/(Kg/gmole) | 0.119543 | Top initial pressure/(MPa) | 13.5 |
Top initial temperature/(°C) | 12.1 | NGH density/(Kg/m3) | 919.7 |
Thermal conductivity of rock/(W/m/K) | 1.73 | NGH thermal conductivity/(W/m/K) | 0.5 |
Thermal conductivity of water/(W/m/K) | 0.69 | Bottom hole production pressure/(MPa) | 4.5 |
Gas composition | 100%CH4 | Heat of decomposition of NGH/(J/mole) | 51,858 |
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Ye, H.; Wu, X.; Li, D. Numerical Simulation of Natural Gas Hydrate Exploitation in Complex Structure Wells: Productivity Improvement Analysis. Mathematics 2021, 9, 2184. https://doi.org/10.3390/math9182184
Ye H, Wu X, Li D. Numerical Simulation of Natural Gas Hydrate Exploitation in Complex Structure Wells: Productivity Improvement Analysis. Mathematics. 2021; 9(18):2184. https://doi.org/10.3390/math9182184
Chicago/Turabian StyleYe, Hongyu, Xuezhen Wu, and Dayong Li. 2021. "Numerical Simulation of Natural Gas Hydrate Exploitation in Complex Structure Wells: Productivity Improvement Analysis" Mathematics 9, no. 18: 2184. https://doi.org/10.3390/math9182184
APA StyleYe, H., Wu, X., & Li, D. (2021). Numerical Simulation of Natural Gas Hydrate Exploitation in Complex Structure Wells: Productivity Improvement Analysis. Mathematics, 9(18), 2184. https://doi.org/10.3390/math9182184