GEANT4 simulations of the reaction dp → ppn, i.e., the dp nonmesonic breakup reaction, at 300 and 500 MeV of deuteron energy for different detector conˇgurations are presented. Two threads made from polyethylene and carbon with a thickness of 10 μm are used as targets. The goal of the simulations is toˇnd a method by means of which the signal from the dp nonmesonic breakup can be separated from the background that mainly comes from the carbon content of the CH2 target. The obtained results will be used in the experimental spin program that will be realized at the Nuclotron in Dubna. The aim of this experimental investigation is to contribute to the elucidation of the structure of the spin-dependent parts of the nucleonÄnucleon and three-nucleon forces acting in the dp nonmesonic breakup. The deuteron energies will be ranging from 300 up to 500 MeV.