Wireless downhole positioning system

A system comprising:

• a first transceiver having a first clock;
• and
• a downhole tool disposed in a wellbore, the downhole tool comprising a second clock, a non-transitory machine-readable medium, and a processor,
• wherein the first clock is synchronized with the second clock, and
• wherein the non-transitory machine-readable medium has program code executable by the processor to cause the downhole tool to:
• receive at a second time, via the downhole tool or the first transceiver, a first wireless signal transmitted at a first time, wherein the first wireless signal is a continuous wave and wherein receiving the first wireless signal produces a received signal;
• determine a phase shift between the first wireless signal and the received signal;
• and
• determine a downhole position of the downhole tool based on the phase shift.

A method comprising:

• synchronizing a first clock with a second clock, wherein the first clock is disposed in a downhole tool, wherein the second clock is disposed in a first receiver, and wherein the first receiver is disposed at a known location;
• disposing the downhole tool into a wellbore at a first location;
• transmitting a first wireless signal along the wellbore from the downhole tool at a first time, wherein the first wireless signal is a continuous wave;
• receiving the first wireless signal via the first receiver at a second time, wherein the receiving of the first wireless signal produces a received signal;
• determining a phase shift between the first wireless signal and the received signal;
• and
• determining a first downhole position of the downhole tool based on the phase shift.