Spinal fluid percolates around the brain in a space known as the subarachnoid space.  The fine arachnoid membrane, which looks like a spider web (therefore it is called arachnoid, as in spider like),  contains the cerebrospinal fluid.  The subarachnoid spaces are compartmentalized into a number of cisterns, particularly around the base of the brain.  These are individual pockets of cerebrospinal fluid.  Through the subarachnoid space runs the cerebral arteries and veins.