In a method of making a well for which a borehole is sunk into which a pump-out device is inserted down to the earth horizon from which water is to be removed, an annular space defined by the borehole wall being filled with a filter medium and a sealing layer being formed on the upper surface of the filter medium, which sealing layer prevents the ingress of water through the well from above into the selected earth horizon, provision is made according to the invention for a single or multiple shut-off and collecting device to be inserted with the drilling tool into the borehole, the segment parts of which shut-off and collecting device are inserted into the borehole wall and have applied to them in each case a sand-grain filling which has a grain size of 0.3 to 0.7 or 0.7 to 1.2, the ground water mixed in each case with flushing fluid and a proportionate quantity of fines being drawn off continuously when the pumping device is started up.