Chapter 16: Radius of Investigation
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Published:2021
"Radius of Investigation", Wireline Formation Testing: Hardware, Pressure Transient Testing, Interpretation and Sampling, Fikri J. Kuchuk, T. S. Ramakrishnan, Mustafa Onur
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A local excitation (source/sink) in a porous formation is not instantaneously measurable throughout the medium. Furthennore, Foster et al. (1967) advocated a simplified telegrapher’s equation, leading to a definitive signal front through a second derivative in time. A closer examination of dimensionless telegrapher’s equation shows that the magnitude of the acoustic term scales as the square of the ratio of the acoustic propagation distance to the characteristic diffusion distance. Even for a 10-darcy medium with properties of water at the standard conditions, for a porosity of 0.2, the ratio is less than 0.01. Therefore, for all practical purposes, the diffusivity equation given as
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