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A 3D potential-based and desingularized high order panel method 总被引:1,自引:0,他引:1
In this paper, a novel high order panel method based on doublet distribution and Gaussian quadrature was adopted to deal with the potential flow problem. In the geometry representation we employed both the exact surface and NURBS surface form to construct the surface panel. These data were calculated directly from the mathematical shape definition. Furthermore, no fixed order of doublet density distribution was assumed on each panel. Not only the number of panels could be chosen, but also the Gaussian order of each panel. The numerical results for sphere, ellipsoid and Wigley hull demonstrated here indicated that the present method was adapted to the potential flow problem. Moreover, the NURBS surface geometry representation was capable of further potential flow optimal calculation. 相似文献
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Reservoir lifetime and heat recovery factor in geothermal aquifers used for urban heating 总被引:1,自引:0,他引:1
Alain C. Gringarten 《Pure and Applied Geophysics》1978,117(1-2):297-308
Simple models are discussed to evaluate reservoir lifetime and heat recovery factor in geothermal aquifers used for urban heating. By comparing various single well and doublet production schemes, it is shown that reinjection of heat depleted water greatly enhances heat recovery and reservoir lifetime, and can be optimized for maximum heat production. It is concluded that geothermal aquifer production should be unitized, as is already done in oil and gas reservoirs.Nomenclature
a
distance between doublets in multi-doublet patterns, meters
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A
area of aquifer at base temperature, m2 drainage area of individual doublets in multidoublet patterns, m2
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D
distance between doublet wells, meters
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h
aquifer thickness, meters
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H
water head, meters
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Q
production rate, m3/sec.
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r
e
aquifer radius, meters
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r
w
well radius, meters
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R
g
heat recovery factor, fraction
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S
water level drawdown, meters
- t
producing time, sec.
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T
aquifer transmissivity, m2/sec.
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v
stream-channel water velocity, m/sec.
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actual temperature change, °C
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theoretical temperature change, °C
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water temperature, °C
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heat conductivity, W/m/°C
- r
rock heat conductivity, W/m/°C
- aCa
aquifer heat capacity, J/m3/°C
- aCr
rock heat capacity, J/m3/°C
- WCW
water heat capacity, J/m3/°C
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aquifer porosity, fraction 相似文献
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