In order to study the ion acceleration processes in ultraintense laser-plasma interactions with solid targets, neutron spectra from deuteron-deuteron (D-D) nuclear reactions were measured. Spectra were obtained when (50-100 TW, 0.5-1 ps) laser light irradiated obliquely incident deuterated plastic targets as a function of laser polarization, intensity, and density scale length of the preformed plasma. The experimental data are compared with three-dimensional Monte Carlo simulations. The results indicate that the ion momentum distribution is collimated and directed into the bulk of the target to the target normal direction with an energy that is linearly proportional to the laser intensity. The distribution of the accelerated ions was observed to change from isotropic to anisotropic with laser prepulse intensity. All the results indicate that the ion acceleration is dominated by an electrostatic field generated from a charge displacement of the hot electrons at the target surface.