The privilege tax levied by this chapter as it applies to offshore production from depths greater than 8,000 feet below mean sea level shall not be computed as a percentage of gross value at the point of production, as provided in Article 1, but shall be computed as a percentage of gross proceeds. The amount of the tax shall be computed at the rate of three and sixty-five one hundredths percent (3.65%) of the gross proceeds attributable to the offshore production.