Ismaila,
Well Integrity should be considered the broader subject of which wellhead maintenance is just one part. Well integrity also includes management of annulus pressures, management of corrosion int he tubulars with chemicals, management of erosion of the tubing with velocity/production control, management of sand production through drawdown limits, etc.
Wellhead maintenance services are often provided by a third party that does not have any involvement with management of the rest of the well integrity envelope or operational limits.
I hope that helps,
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Dan Gibson
Completion / Well Integrity Advisor
Gibson Petroleum Consultants
FulshearTX
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