Physics – Geophysics
Scientific paper
Feb 2010
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010georl..3704308s&link_type=abstract
Geophysical Research Letters, Volume 37, Issue 4, CiteID L04308
Physics
Geophysics
4
Radio Science: Electromagnetic Noise And Interference, Radio Science: Interferometry (1207, 1209, 1242), Electromagnetics: Transient And Time Domain, Hydrology: Hydrogeophysics, Exploration Geophysics: Magnetic And Electrical Methods (5109)
Scientific paper
We show that the two-point cross-correlation of self-potential field recordings is equal to the electric resistivity between the two points. This holds under the condition that spatially and temporally uncorrelated noise sources exist throughout the volume. These sources should have a known amplitude spectrum and their correlated strengths should be proportional to the dissipative medium property function. Natural fluctuations, such as thermal noise, may occur that satisfy the necessary conditions. When these fluctuations are random deviations from a state of thermal equilibrium, the fluctuation-dissipation theorem can be used to describe these sources. Other types of sources may exist, such as the ones creating the self-potential field through coupling with fluctuations in pressure, temperature and chemical potential gradients.
Revil André
Slob Evert
Snieder Roel
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