Tone request

    I am trying to achieve a heavy guitar tone similar to the porcupine tree song anesthetize, but I don´t really know how, maybe someone here can give me a little help...(since I am usually playing a more bluesy tone ^^ )
    I have a Peavey Wolfgang (usually playing Fender) for this trial, but don´t know what amp tone or FX I would need.
    Maybe someone of the heavier guitarists out here can give me a hint?
    Thank you!
    Sincerely,
    Dennis