Geosteering boreholes using distributed acoustic sensing

A method of estimating position of a borehole includes: disposing an acoustic sensor in a first borehole in an earth formation, the acoustic sensor including a plurality of measurement locations disposed along a length of the first borehole; drilling a portion of a second borehole in the earth formation using a drilling assembly; taking distributed acoustic measurement data over a time period during the drilling by the plurality of measurement locations, the acoustic measurement data based at least in part due to an acoustic signal generated by the drilling assembly and detected by the plurality of measurement locations; processing the measurement data to estimate a distance between the drilling assembly and the acoustic sensor; and controlling directional parameters of the drilling based on the distance.