Galaxy clusters are known to host a variety of extended radio sources: tailed radio galaxies whoseshape is modelled by the interaction with the intra-cluster medium (ICM); radio bubbles fillingcavities in the ICM distribution and rising buoyantly through the thermal gas; diffuse giant radiosources (“halos” and “relics”) revealing the presence of relativistic electrons and magnetic fieldsin the intra-cluster volume. It is currently the subject of an active debate how the non-thermalcomponents that we observe at radio wavelengths affect the physical properties of the ICM anddepend on the dynamical state of galaxy clusters.In this work we start our SKA1 feasibility study of the “radio cluster zoo” through simulations ofa typical radio-loud cluster, hosting several bright tailed radio galaxies and a diffuse radio halo.Realistic simulations of SKA1 observations are obtained through theMeqTreessoftware. Anew deconvolution algorithm, based on sparse representations and optimised for the detection offaint diffuse astronomical sources, is tested and compared to the classical CLEAN method.