Geophysical data processing is remotely controlled and monitored over a wide-area network such as the Internet. A customer using a client computer builds geophysical data processing flows (concatenations of geophysical data processing modules or filters) and enters parameter values required for flow execution. The flow descriptions and associated parameter values are then transferred from the client to a geophysical data processing server, for example a parallel supercomputer. The flows (jobs) are executed on the server, typically over periods ranging from hours to weeks. Intermediate or partial results are made available to the customer for visualization before the processing of a flow is complete. The customer can then modify the flow before its complete execution. Data-entry windows are automatically generated for geophysical processing modules by parsing the source code of the modules. The automatic generation of data-entry windows allows relatively simple integration of new seismic interpretation packages with a given graphical user interface.