Abstract
Rock mechanics and rock engineering projects require determining, among other parameters, the uniaxial compressive strength (UCS) of rock. For such a purpose, it is not uncommon to perform ultrasonic pulse laboratory tests. Many researchers have found experimental relationships between strength and P-wave velocity, but these relationships are based mainly on dry conditions and without considering any other physical or chemical characteristics of the studied rock. Specifically, for limestone, there are 11 correlations reported in the literature, eight of which are simple and the remaining three are multiple, and, among the latter, only two of them consider the saturation. In order to evaluate the combined effect of P-wave velocity, density, and porosity on the UCS of saturated limestone, simple and multiple regression analyses were carried out on the test results of 13 saturated limestone specimens to determine the parameters of both previously mentioned predictive models. The results showed that density is not correlated with strength.
Highlights
Rock mechanics and rock engineering projects require obtaining the physicochemical properties of rocks
P-wave velocity and S-wave velocity are obtained in a laboratory by means of a nondestructive test based on ultrasonic pulses that is currently only standardized by a suggested method of the International Society for Rock Mechanics and Rock Engineering (ISRM) [33]
It can be readily observed that none of the equations correctly captured all the performed tests, there were a few coincidences with Equations (1), (7), (8), (10), and (11)
Summary
Rock mechanics and rock engineering projects require obtaining the physicochemical properties of rocks. Beginning from vp and vs , the dynamic elastic modulus (Edyn ) and dynamic Poisson’s ratio (νdyn ) can be obtained [33], but these velocities are related to more physical and mechanical properties of rocks In this sense, a good number of authors have studied the relationship between vp and density (ρ) [7,8,9], porosity (n) [10,11,12], pore water content [13,14,15,16], content on clayey minerals inside the pores [17,18], UCS with different degrees of saturation (Sr ) [19,20,21,22,23,24,25,26,27,28], and the static elastic modulus (Est ) [29,30]
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