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A method of simulation of particle cascades induced by ultra-high (>10$^{15}$eV) and extremely high (>10$^{18}$ eV) energy neutrinos in water or other densemedium has been elaborated. The lateral spread of high-energy particles incascades due to Coulomb scattering is negligible. So it is possible to use anapproximation of the one-dimensional development of the UHE (or EHE) cascade ifenergies of particles in it higher than 10-100 GeV. An original program of theone-dimensional development of UHE and EHE cascades in dense media taking intoaccount fluctuations and the Landau-Pomeranchuk-Migdal effect has beenelaborated. The GEANT4 package has been used when particle energies are below1000 GeV, for example, or less to calculate correctly the longitudinaldistribution of an energy deposition by charge particles in a cascade. Inadvance the library of longitudinal characteristics of cascades was calculated.When a particle with the energy E which is below the threshold energy (E<1000GeV or E<10$^6$ GeV) appears in the basic Monte Carlo program, the longitudinaldistribution of an energy deposition induced by it was taken from the libraryand was added into the corresponding places of the basic distribution. Theresults of simulation of cascades in a dense medium can be used forcalculations of acoustical or radio signals.

Simulation of cascades caused by UHE and EHE neutrinos in dense media