Diffusion source function identification in the process of gas seepage in a coal seam

Through piecewise linearization, the control equation of gas migration in coal is simplified to a parabolic differential with time-dependent source terms, and under corresponding initial conditions, boundary additional conditions are used obtain definite solution unknown function identification equation. A triaxial experimental device measure axial pressure specimen independently developed, test samples performed. With use fundamental solution, by substituting obtained experiment, above discretized into system linear equations, Tikhonov regularization method generalized cross-validation (GCV) employed solve ill-conditioned diffusion functions seepage identified. The results suggest that for equation, which avoids measurement analysis pore fissure structures samples, accurately directly obtains change trend desorption–diffusion sources process provides new idea study seam process.