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Why does the NDL that the dive computer shows when doing repetitive dives is less accurate the more repetitive dives you do ? what is physical explanation ? is there a problem to model the affect of the repetitive dives?
It's not necessarily less accurate, although there's a good chance it is.
The computer contains a mathematical model of a generic "you".
Given the information it does have (breathing mixture, depth, time, ascent rate and tank data if AI), it maintains an estimate of the amount of nitrogen in various tissue types in your body.
If the model doesn't fit you perfectly, the differences between the computer's model and your body (errors) will tend to increase over time. This could be good or bad, depending on which way the errors are accumulating. If the computer consistently estimates that you contain more nitrogen than you do, and you follow it's recommendations, you'll have less chance of DCS. It also works the other way, meaning that if the computer thinks you contain less nitrogen than you do, and you follow it's recommendations, there is an increased chance of DCS.
This is one of the reasons that many people recommend taking a "day off" in the middle of a week-long series of repetitive dives.
Note that this isn't specifically a "computer problem" and the exact same problem can occur when diving tables. If you off-gas slower than the model the tables are based on, you could easily end up getting bent.
It's actually a problem that occurs when applying any mathematical model to a physical process, without feedback from physical measurements.
Terry