1. A method of processing data on a co-processor device that is operatively coupled to a host computing system via a communications channel, the method comprising: receiving a set of input data from the host computing system at the co-processor device over the communications channel, wherein the input data is received by the co-processor device over the communications channel in an uncompressed format, and wherein the set of input data comprises one or both of (i) one or more models of a seismic volume of interest, and/or (ii) a set of readings of at least one seismic shot within the seismic volume of interest taken by an array of seismic sensors that each generated time-varying data during the at least one seismic shot; compressing the input data on the co-processor device; storing all or substantially all of the set of compressed input data to a co-processor information storage contained within the co-processor device; transmitting at least a part of the input data included in the stored set of input data, in its compressed format, from the co-processor information storage to a co-processor included in the co-processor device; implementing the co-processor to process the part of the input data received from the co-processor information storage to determine a set of output data related to the presence of seismic waves in the seismic volume of interest; and transmitting the set of output data related to the presence of seismic waves in the seismic volume of interest to the co-processor information storage or the host computing system over the communications channel.