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The current mine safety monitoring system used can only get the air volume change of roadway placed air velocity transducers,as this change is caused by this roadway,or for other roadway,and fault source has one point or more,which belongs to the problem of fault source diagnosis for ventilation system.Ventilation system fault can be attributed to the variation of air resistance of branch in the entire network.If the changes of air resistance for each branch in ventilation system are analyzed,then it is impossible to place air velocity transducers in every branch.Therefore,the problem of the minimum quantifies and location for placing air velocity transducers should be mainly studied.The relationship of air resistance and air volume variation of matrix method has been proposed,which can reflect the variation relationship between the air volume of the branch and air resistance of the relevant branches.Fault roadway range library of ventilation network built to determine fault roadway range will cause air velocity to exceed the limit.Minimum and full coverage of distribution method has been proposed,and the concept of branch coverage degree and impact roadway range library has also been brought forword to get the macro-distribution of air velocity transducers.