This invention discloses a method for predicting the production capacity of deep
coal and rock gas considering
complex fracture networks. First, the method establishes a fracture network topological
tensor matrix based on fractal geometry and non-Euclidean topological manifolds. Second, it introduces a nanoscale confined multi-state
desorption operator to construct a cross-scale
gas release source term and integrates continuum
damage mechanics and phase field theory to generate a full-
tensor permeability evolution functional. Subsequently, a
kinetic model is established to quantify the
conductivity attenuation boundary caused by
coal powder bridging. Combining the above parameters, a spatiotemporal fractional derivative is introduced to construct a comprehensive flow field
control equation characterizing nonlocal anomalous
diffusion of fluids. Finally, this equation is mapped to a
hypergraph network
system for global
order reduction solution. This invention effectively eliminates the computational singularity of
multiphysics rigid equation sets, achieving efficient and high-precision prediction of deep gas well production capacity under
time series, providing reliable support for formulating scientific drainage and production systems.