Q

# Is there a relation between concrete strength and wave speed? How can I determine the minimum acceptable wave speed?

A

Based on information reported in American Concrete Institute (ACI) 228.1 and some other codes and specifications, the concrete compressive strength is approximately proportional to the compression wave velocity to the 4th power. This means that, if σ is the concrete strength, W is the wave speed, and k1 and k2 are constants: σ = k1 × W4 or W = k2× σ1/4 Those relationships can be used to compare the strength and wave speed of concretes with similar mix. The following table might offer a rough guide:

 fc wave speed fc wave speed psi ft/sec MPa m/sec 2000 9,249 13.8 2,819 3000 10,235 20.7 3,120 4000 10,999 27.6 3,352 5000 11,630 34.5 3,545 6000 12,172 41.4 3,710 7000 12,650 48.3 3,856 8000 13,080 55.2 3,986 9000 13,470 62.1 4,106 10000 13,830 69.0 4,215
Suppose the minimum acceptable strength for the concrete of a drilled shaft project is σA. Also suppose that on a given shaft on that project you determine a wave speed WM (by performing a Pile Integrity Test or by Cross Hole Sonic Logging) and measure a strength σM (by extracting a cylinder, for example). A relationship may be established for the minimum acceptable wave speed on other drilled shafts on the same project, WA, as follows: WA = WM (σA / σM)1/4