Depth-intensity relation for large depths in sea water derived from the primary-cosmic-ray energy spectrum

Using the energy-loss parameters in water for muons according to Bezrukov and Bugaev the range-energy relation in sea water was derived and compared with previous results. For the first time the depth-intensity relation was derived dynamically from the latest primary spectrum in the range 1000--6000 hg cm^-2 by considering the depth-energy relation and also accounting for the loss of muon intensity due to range fluctuations. The calculated result is in accordance with the latest depth-intensity measurements of the Soviet group in the Caribbean Sea.