Which locality do you exactly mean? There is Persian Gulf in the north and Arabian Sea in the south east. So, “North Arabian gulf marine” doesn’t make sense. It is a marine or gulf?
By the way there is a good book called “Arabian Plate Sequence Stratigraphy (GeoArabia special publication)” edited by Sharland, 2001 which discussed about Arabian plate sedimentary system. also take a look at:
I suppose you are interested in modern/recent sedimentation? I'm not working in the area myself, but a quick search on www.sciencedirect.com brought up plenty of articles. I reckon, it's probably easiest to contact one of the many authors directly.