A CE-560 FLT CREW HAVE A RWY INCURSION.

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AFTER RECEIVING OUR ENRTE CLRNC; THE PNF CONTACTED GND CTL FOR TAXI CLRNC. THE GND CTLR ISSUED A CLRNC TO TAXI TO RWY 22L USING TXWY J; RWY 4L TO HOLD SHORT OF RWY 31L. I MISUNDERSTOOD THE INSTRUCTIONS AND I THOUGHT OUR RWY OF DEP WAS RWY 31C; OFTEN USED WHEN DEPARTING THE W RAMP. RWY 31C WAS IN USE. THE TAXI INSTRUCTIONS FOR RWY 31C BEGAN THE SAME AS THE INSTRUCTIONS FOR RWY 22L AND BOTH INCLUDED HOLD SHORT INSTRUCTION FOR RWY 31L. I BEGAN TO TAXI VIA TXWY J AND RWY 4L BUT I TURNED R ON TXWY F INSTEAD OF CONTINUING ON RWY 4L. THE CTLR SAW MY ERROR AND TOLD ME TO TURN L ON TXWY Y AND CROSS RWY 31L; RWY 31C AND RWY 31R AND CONTINUE. WHEN I APCHED RWY 31R; I MADE A R TURN ON THE RWY INSTEAD OF XING THE RWY; STILL PLANNING ON RWY 31C. THE CTLR SAID 'WHERE ARE YOU GOING?' AND BEFORE THE PNF COULD RESPOND; THE CTLR SAID TO CONTINUE TAXI TO RWY 31C AND HOLD SHORT; WHICH I DID. WE DEPARTED RWY 31C AND THE REST OF THE FLT WAS NORMAL. LACK OF COCKPIT COM WAS A CONTRIBUTING FACTOR. THE CTLR ISSUED THE CLRNC VERY QUICKLY. THE CLRNC TO RWY 22L IS NORMALLY VIA TXWY W AND TXWY N TO HOLD SHORT OF RWY 22R. NO CONFLICT WAS CREATED.