Document Type

Article

Department

​​Physics

Publication Date

5-2014

Abstract

Analysis of hourly underground temperature measurements at a medium-size (by population) US city as a function of depth and extending over 5+ years revealed a positive trend exceeding the rate of regional and global warming by an order of magnitude. Measurements at depths greater than ~2 m are unaffected by daily fluctuations and sense only seasonal variability. A comparable trend also emerged from the surface temperature record of the largest US city (New York). Power spectral analysis of deep and shallow subsurface temperature records showed respectively two kinds of power-law behavior: 1) a quasi-continuum of power amplitudes indicative of Brownian noise, superposed (in the shallow record) by 2) a discrete spectrum of diurnal harmonics attributable to the unequal heat flux between daylight and darkness. Spectral amplitudes of the deepest temperature time series (2.4 m) conformed to a log-hyperbolic distribution. Upon removal of seasonal variability from the temperature record, the resulting spectral amplitudes followed a log-exponential distribution. Dynamical analysis showed that relative amplitudes and phases of temperature records at different depths were in excellent accord with a 1-dimensional heat diffusion model.

Comments

Originally published under Open Access terms, and a (CC-BY) Creative Commons License as:

Silverman, M.P. (2014) Statistical Analysis of Subsurface Diffusion of Solar Energy with Implications for Urban Heat Stress. Journal of Modern Physics, 5, 751-762. http://dx.doi.org/10.4236/jmp.2014.59085

Creative Commons License


This work is licensed under a Creative Commons Attribution 4.0 License.

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