Abstract
The problem of the one-dimensional motion of aerated oil and gas arose in connection with the design of a development of the Samotlorsk oilfield, level A of which is a single massive stratum with a gas cap in the upper part and ground water in the underlying part. It is assumed that the area of the field is covered with a network of wells at a given spacing. The well filters are located arbitrarily in a single area which is called the plane of oil sampling. The position of the gas-oil contact and the water-oil contact are considered as functions of the time in the sampling plane in order to determine the depletion of the stock of oil and also to locate the sampling plane most advantageously in depth.
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