<p>Free and forced oscillations of a hemispherical gas bubble on a rigid parallel plate surrounded by an incompressible liquid layer with a free surface in a uniform pulsating pressure field are considered. A model is proposed for describing the substrate surface heterogeneity through the wetting parameter (Hocking parameter), which is a proportionality coefficient between the contact line velocity and the contact angle deviation. The surface heterogeneity is important only near the contact line due to small-amplitude oscillations, which allows considering the form of surface heterogeneity as a function of one spatial variable. An external action excites only axisymmetric oscillations, shape oscillations arise due to the contact line movement along the substrate surface, but azimuthal modes are also excited by heterogeneity and their spectrum depends on the plate heterogeneity. In addition, the frequency of volume oscillations depends on the gas pressure in the bubble, so that this frequency can be equal to the frequency of bubble shape oscillations of any mode. The problem is solved using a Fourier series expansion in basis functions. The resulting system of amplitude equations is solved numerically due to its cumbersome nature.</p>