The issue of optimizing laser-plasma X-ray sources is still relevant. In this context, numerical simulation methods are very effective. A series of 2d PIC calculations using the EPOCH code were carried out. The laser pulse duration was 0.7 ps, the peak intensity was 3x1e20 W/cm2, and silicon foil between 2 and 5 µm thick was used as a target. The conversion efficiency into the continuous X-ray spectrum was calculated. The results of comparison of numerical calculations with experimental measurements showed their satisfactory agreement.