The hydrostatic pressure gradient in a vertical well drilled in a relaxed depositional basin is \(0.452 \, psi/ft\). Assume that the gradient of effective horizontal stress with depth is constant in the drilling zone and has a value of \(9.96 \times 10^{-2} \, psi/ft\). The casing shoe is at \(4000 \, ft\) depth.
While drilling the bore hole below the casing shoe with \(10 \, ppg\) mud, the maximum allowed standpipe pressure is \(________\) psi (rounded off to one decimal place).
(Note: 1 ppg mud is equivalent to \(0.052 \, psi/ft\)).