Telemetry scheme with a constant insensible group delay

A system for optimizing a telemetry scheme, the system comprising:

• one or more processors;
• and
• at least one computer-readable storage medium having stored therein instructions which, when executed by the one or more processors, cause the system to:
• gather, by a downhole logging system, raw data of a downhole environment;
• determine, by the downhole logging system, whether to add dummy data to compressed data of the raw data based on a telemetry bandwidth for transmitting the compressed data to a surface logging system in relation to a prior compressor queue size associated with the downhole logging system;
• add, by the downhole logging system, the dummy data to the compressed data of the raw data based on the telemetry bandwidth for transmitting the compressed data in relation to the prior compressor queue size associated with the downhole logging system;
• transmit the compressed data with the dummy data from the downhole logging system to the surface logging system;
• receive, at the surface logging system, an acquisition including the compressed data of the raw data and the dummy data from the downhole logging system;
• determine a prior decompressor queue size based on the acquisition for a plurality of time intervals;
• determine a decompressor data size based on the acquisition for the plurality of time intervals;
• determine a delay where the prior decompressor queue size is continuously greater than or equal to the decompressor data size for the plurality of time intervals;
• and
• decompress, at the surface logging system, the acquisition based on the delay.

A non-transitory computer-readable storage medium comprising:

• instructions stored on the non-transitory computer-readable storage medium, the instructions, when executed by one or more processors, cause the one or more processors to:
• gather, by a downhole logging system, raw data of a downhole environment;
• determine, by the downhole logging system, whether to add dummy data to compressed data of the raw data based on a telemetry bandwidth for transmitting the compressed data to a surface logging system in relation to a prior compressor queue size associated with the downhole logging system;
• add, by the downhole logging system, the dummy data to the compressed data of the raw data based on the telemetry bandwidth for transmitting the compressed data in relation to the prior compressor queue size associated with the downhole logging system;
• transmit the compressed data with the dummy data from the downhole logging system to the surface logging system;
• receive, at the surface logging system, an acquisition including the compressed data of the raw data and the dummy data from the downhole logging system;
• determine a prior decompressor queue size based on the acquisition for a plurality of time intervals;
• determine a decompressor data size based on the acquisition for the plurality of time intervals;
• determine a delay where the prior decompressor queue size is continuously greater than or equal to the decompressor data size for the plurality of time intervals;
• and
• decompress, at the surface logging system, the acquisition based on the delay.