ASHRAE Journal - July 2010 - 20
Sizing Calculation Spreadsheet
Vertical Geothermal Borefields
By Mikael Philippe; Michel Bernier, Ph.D., P .Eng., Member ASHRAE; and Dominique Marchio Equation 1 was derived assuming that heat transfer in the ground occurs only by the total length of a borefield for a given building. One way to perform this conduction and that moisture evaporation or underground water movement are not calculation is to use the sizing equation proposed by Kavanaugh and Rafferty1 significant. As illustrated in Figure 1, Equation 1 and contained in the ASHRAE Handbook.2 This equation has been recast by is based on the worst-case scenario represented by three successive thermal pulses Bernier3 into the following form: with durations corresponding to 10 years, between boreholes (in the case of a single one month, and six hours. These pulse qh Rb + q y R10y + qm R1m + qh R6h L= (1) borehole, Tp = 0), durations are typically used in design. Tm − Tg +Tp qy, qm and qh represent, respectively, the where yearly average ground heat load (thermal an- About the Authors L is the total borehole length, nual imbalance), the highest monthly ground Mikael Philippe is a Ph.D. candidate at the Bureau Tm is the mean fluid temperature in load and the peak hourly ground load, des recherches géologiques et minières in Orléans, the borehole, R10y, R1m and R6h are effective ground France. Michel Bernier, Ph.D., P.Eng., is a profesT g i s t h e u n d i s t u r b e d g r o u n d thermal resistances corresponding to 10 sor in the département de génie mécanique at École Montréal Montréal, temperature, years, one month and six hours ground Polytechnique de of TC 6.8,inGeothermalCanada. He is a member Energy Tp, the temperature penalty, represents loads, and Utilization. Dominique Marchio is a professor a correction to the undisturbed ground Rb is the effective borehole thermal at the Centre Énergétique et Procédés at MINES ParisTech in Paris. temperature due to thermal interferences resistance.
D
esigners of vertical geothermal systems often need to quickly estimate
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20
ASHRAE Journal
ashrae.org
July 2010
ASHRAE Journal - July 2010
Table of Contents for the Digital Edition of ASHRAE Journal - July 2010
ASHRAE Journal - July 2010
Table of Contents
Commentary
Industry News
Letters
Meetings and Shows
Sizing Calculation Spreadsheet: Vertical Geothermal Borefields
HVAC for Prisons
Control Strategies for Variable Speed Pumps In Super High-Rise Building
Maintaining Green
Sustainable Products Capabilities
Emerging Technologies
Technical Topics
Special Products
People
Products
Classified Advertising
Advertisers Index
ASHRAE Journal - July 2010 - Intro
ASHRAE Journal - July 2010 - ASHRAE Journal - July 2010
ASHRAE Journal - July 2010 - Cover2
ASHRAE Journal - July 2010 - 1
ASHRAE Journal - July 2010 - 2
ASHRAE Journal - July 2010 - Table of Contents
ASHRAE Journal - July 2010 - Commentary
ASHRAE Journal - July 2010 - 5
ASHRAE Journal - July 2010 - Industry News
ASHRAE Journal - July 2010 - 7
ASHRAE Journal - July 2010 - 8
ASHRAE Journal - July 2010 - 9
ASHRAE Journal - July 2010 - 10
ASHRAE Journal - July 2010 - 11
ASHRAE Journal - July 2010 - Letters
ASHRAE Journal - July 2010 - 13
ASHRAE Journal - July 2010 - 14
ASHRAE Journal - July 2010 - 15
ASHRAE Journal - July 2010 - 16
ASHRAE Journal - July 2010 - 17
ASHRAE Journal - July 2010 - Meetings and Shows
ASHRAE Journal - July 2010 - 19
ASHRAE Journal - July 2010 - Sizing Calculation Spreadsheet: Vertical Geothermal Borefields
ASHRAE Journal - July 2010 - 21
ASHRAE Journal - July 2010 - 22
ASHRAE Journal - July 2010 - 23
ASHRAE Journal - July 2010 - 24
ASHRAE Journal - July 2010 - 25
ASHRAE Journal - July 2010 - 26
ASHRAE Journal - July 2010 - 27
ASHRAE Journal - July 2010 - 28
ASHRAE Journal - July 2010 - 29
ASHRAE Journal - July 2010 - HVAC for Prisons
ASHRAE Journal - July 2010 - 31
ASHRAE Journal - July 2010 - 32
ASHRAE Journal - July 2010 - InsertA
ASHRAE Journal - July 2010 - InsertB
ASHRAE Journal - July 2010 - 33
ASHRAE Journal - July 2010 - 34
ASHRAE Journal - July 2010 - 35
ASHRAE Journal - July 2010 - Control Strategies for Variable Speed Pumps In Super High-Rise Building
ASHRAE Journal - July 2010 - 37
ASHRAE Journal - July 2010 - 38
ASHRAE Journal - July 2010 - 39
ASHRAE Journal - July 2010 - 40
ASHRAE Journal - July 2010 - 41
ASHRAE Journal - July 2010 - 42
ASHRAE Journal - July 2010 - 43
ASHRAE Journal - July 2010 - Maintaining Green
ASHRAE Journal - July 2010 - 45
ASHRAE Journal - July 2010 - 46
ASHRAE Journal - July 2010 - 47
ASHRAE Journal - July 2010 - 48
ASHRAE Journal - July 2010 - 49
ASHRAE Journal - July 2010 - 50
ASHRAE Journal - July 2010 - Sustainable Products Capabilities
ASHRAE Journal - July 2010 - 52
ASHRAE Journal - July 2010 - 53
ASHRAE Journal - July 2010 - 54
ASHRAE Journal - July 2010 - 55
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ASHRAE Journal - July 2010 - 93
ASHRAE Journal - July 2010 - 94
ASHRAE Journal - July 2010 - 95
ASHRAE Journal - July 2010 - Emerging Technologies
ASHRAE Journal - July 2010 - 97
ASHRAE Journal - July 2010 - 98
ASHRAE Journal - July 2010 - 99
ASHRAE Journal - July 2010 - Technical Topics
ASHRAE Journal - July 2010 - 101
ASHRAE Journal - July 2010 - 102
ASHRAE Journal - July 2010 - 103
ASHRAE Journal - July 2010 - Special Products
ASHRAE Journal - July 2010 - 105
ASHRAE Journal - July 2010 - 106
ASHRAE Journal - July 2010 - 107
ASHRAE Journal - July 2010 - People
ASHRAE Journal - July 2010 - Products
ASHRAE Journal - July 2010 - Classified Advertising
ASHRAE Journal - July 2010 - 111
ASHRAE Journal - July 2010 - Advertisers Index
ASHRAE Journal - July 2010 - Cover3
ASHRAE Journal - July 2010 - Cover4
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