In accordance with the fracturing and producing mechanism in coalbed methan
e well, and combining the knowledge of fluid mechanics, linear elastic frac
ture mechanics, thermal transfer, computing mathematics and software engine
ering, the three-dimensional hydraulic fracture propagating and dynamical p
roduction predicting models for coalbed methane well is put forward. The fr
acture propagation model takes the variation of rock mechanical properties
and in-situ stress distribution into consideration. The dynamic performance
prediction model takes the gas production mechanism into consideration. Wi
th these models, a three-dimensional hydraulic fracturing optimum design so
ftware for coalbed methane well is developed, and its practicality and reli
ability have been proved by ex-ample computation.