Research on the Optimized Design of Medium and Deep Ground-Source Heat Pump Systems Considering End-Load Variation
Abstract
:1. Introduction
2. Numerical Modelling and Computational Methods
2.1. Calculation Model Fluency
2.2. Model Assumptions
- (1)
- The surface temperature is assumed to remain constant, and the effects of subsurface seepage are disregarded. Consequently, geotechnical heat transfer is modelled as a purely thermal conduction process. This assumption holds for regions with minimal seepage effects, significantly simplifying the coupled convection–heat conduction model and ensuring computational efficiency without compromising the simulation accuracy of heat-transfer behaviour.
- (2)
- Stratigraphy with similar lithologies is combined and modelled as a homogeneous horizontally layered structure, which serves as the basis of the model. This simplification reduces the complexity of stratigraphic zoning while retaining the essential effects of major thermophysical differences and is commonly used in studies under similar geological conditions.
- (3)
- The initial temperatures of the fluid in the casing, the backfill material, and the buried pipe are assumed to match the same horizontal geotechnical temperature, and the measured soil temperature is assumed to be uniform. This setting is based on the thermal equilibrium state, which accurately represents the initial thermal coupling relationship between the system and the geotechnical soil and simplifies the specification of the initial conditions.
2.3. Calculation Method
2.4. Fixed Solution Conditions
2.5. Model Validation
3. Results and Analyses
3.1. Effects of Well Depth and the Internal-to-External Pipe Diameter Ratio
3.2. Effects of the Thermal Conductivity of the Cementing Cement and the Thermal Conductivity of the Inner Tubes
3.3. Effects of Variations in the Flow Rate and Start–Stop Ratio
4. Discussion
4.1. Analysis of the Heat-Transfer Characteristics of the Radial Geotechnical Body on the Source Side During Full Heating Cycle Operation
4.2. Joint Operational Control Analysis Based on Year-Round Dynamic Simulation
4.3. Load-Side and Source-Side Heat Balance Analyses That Are Based on the Control Strategy
5. Conclusions
- (1)
- Increasing the well depth significantly enhances the utilization efficiency of the underground heat storage resources, with a 50 kW increase in heat-transfer capacity for every 500 m increase in well depth, demonstrating a linear growth trend. Additionally, optimizing the internal-to-external pipe diameter ratio effectively enhances the heat-exchange capacity between the fluid and the geotechnical body. The appropriate selection of a larger pipe diameter ratio can significantly reduce the flow resistance and improve the system heat-exchange efficiency.
- (2)
- When the thermal conductivity of cement is close to that of rock and soil, the heat-transfer performance is significantly improved. Specifically, when the thermal conductivity of the cementing cement increases from 1 W/(mK) to 2 W/(mK), the water outlet temperature on the source side increases by approximately 1 °C, and the heat change increases by 13 kW. However, the gain in system efficiency gradually increases. Although an increase in the thermal conductivity of the inner tube can increase the heat transfer rate, it may cause a thermal short-circuit effect and then have a negative impact on the outlet temperature. Therefore, optimizing the thermal conductivity should consider the balance between thermal performance and heat loss to maximize the overall efficiency of the system.
- (3)
- The flow rate has a significant effect on the initial increase in the heat exchange of the system, but with time, the heat transfer effect tends to be saturated. When the operating flow rate is controlled at 0.7 m/s, the heat change is stable at approximately 250 kW, and the system economy can be optimized under the premise of ensuring efficient heat exchange. The adjustment of the start–stop ratio not only improves the energy consumption distribution of the system but also effectively optimizes the long-term thermal balance of the system by strengthening the thermal compensation capacity, which is especially suitable for heating scenarios with large load fluctuations.
- (4)
- The heat release rate of the geotechnical body is high during initial system operation. However, as the heating cycle progresses, the geotechnical body’s heat balance capability gradually emerges, and the outlet temperature and heat-exchange volume stabilize, demonstrating the long-term applicability of medium and deep geothermal energy resources in cold regions.
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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Thermal Parameters | Summertime | Winters |
---|---|---|
Calculated outdoor temperature for air conditioning, °C | 30.5 | −24.3 |
Average outdoor wind speed, m/s | 3.2 | 3.7 |
Atmospheric pressure, Hpa | 978.4 | 994.4 |
Air-conditioning indoor design temperature, °C | 26 | 20 |
Operating cycle, day | -- | 169 |
Serial Number | Part Name | Typology | Value of Each Parameter | ||
---|---|---|---|---|---|
Densities (kg/m3) | Specific Heat (J/(kg·k)) | Thermal Conductivity (W/(m·k)) | |||
1 | Water | fluids | 998.2 | 4182 | 0.6 |
2 | Perimeter rock 0–40 m | solid | 1850 | 1840 | 1.9 |
3 | Perimeter rock 0–850 m | solid | 2600 | 1580 | 2.42 |
4 | Perimeter rock 850–95 m | solid | 2600 | 1580 | 2.42 |
5 | Perimeter rock 950–1050 m | solid | 2600 | 1580 | 2.75 |
6 | Perimeter rock 1050–2050 m | solid | 2600 | 1580 | 2.93 |
7 | Thermal insulation (rubber and plastic) | solid | 100 | 850 | 0.033 |
8 | Inner tube (PE) | solid | 950 | 2300 | 0.42 |
9 | Outer pipe (J55 steel pipe) | solid | 950 | 3800 | 58 |
Serial Number | Part Name | Mold | Number |
---|---|---|---|
1 | Inlet | Velocity inlet | T = 278.15 K; v = 0.3 m/s |
2 | Exits | Outflow | Flow rate weighting = 1 |
3 | Ground level | Wall | h = 15 W/(m2·K); T = 258.15 K |
4 | Bottoms | Wall | Q = 0.0717 W/m2 |
5 | Central axis | Axis | -- |
6 | Soil boundaries | Wall | Q = 0 W/m2 |
7 | Initial stratigraphic temperature | -- | T = 281.2 + 0.02737 × H |
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Li, J.; Qi, X.; Li, X.; Huang, H.; Gao, J. Research on the Optimized Design of Medium and Deep Ground-Source Heat Pump Systems Considering End-Load Variation. Sustainability 2025, 17, 3234. https://doi.org/10.3390/su17073234
Li J, Qi X, Li X, Huang H, Gao J. Research on the Optimized Design of Medium and Deep Ground-Source Heat Pump Systems Considering End-Load Variation. Sustainability. 2025; 17(7):3234. https://doi.org/10.3390/su17073234
Chicago/Turabian StyleLi, Jianlin, Xupeng Qi, Xiaoli Li, Huijie Huang, and Jian Gao. 2025. "Research on the Optimized Design of Medium and Deep Ground-Source Heat Pump Systems Considering End-Load Variation" Sustainability 17, no. 7: 3234. https://doi.org/10.3390/su17073234
APA StyleLi, J., Qi, X., Li, X., Huang, H., & Gao, J. (2025). Research on the Optimized Design of Medium and Deep Ground-Source Heat Pump Systems Considering End-Load Variation. Sustainability, 17(7), 3234. https://doi.org/10.3390/su17073234