The process of soft diffractive dissociation in hadronic collisions is discussed in the framework of the Miettinen--Pumplin model. A good description of the data in the ISR--Tevatron energy range is found. Predictions for the total, elastic and single diffractive cross sections for the LHC are also presented. The total cross section is expected to be 15 % smaller than that given by Donnachie and Landshoff in the model with soft pomeron. The diffractive cross section remains constant in the Tevatron--LHC energy range.

PACS numbers: 13.60.Hb, 13.85.--t, 13.85.Lg, 13.85.Hd