We study the applicability of deterministic strong ground motion simulations at very near fault distances for a subvertical strike-slip fault model corresponding to the 2004 M6 Parkfield, California, earthquake in the frequency range up to 1 Hz. Theoretical modeling under the assumptions of a planar rupture and 1-D medium shows that as a consequence of the S wave radiation pattern, the particle motion for such close stations should be almost linear in the fault-normal (FN) direction, having fault-parallel (FP) and vertical (V) components of almost zero.