Method for simulating hydrofracture efficiently and quickly

• Main Authors: WANG DAOBING, WEI ZHENGXUE, LI JINGFA, SERGIO ZLOTNIK, ZHOU FUJIAN, ZHOU JUN, GE HONGKUI, YU BO, LI XIUHUI, SUN DONGLIANG, HAN DONGXU, PEDRO DEAS
• Format: Patent
• Language: Chinese; English
• Published: 22.06.2018
• Subjects: CALCULATING; COMPUTING; COUNTING; ELECTRIC DIGITAL DATA PROCESSING; PHYSICS

The invention discloses a method for simulating hydrofracture efficiently and quickly. The method comprises the steps that (1) according to the finite element variation principle, a weak form of a hydrofracture equation set is obtained; (2) according to the weak form of the equation set, through a Galerkin finite element discretization method, finite-difference approximation is adopted on first-order derivatives about time in a fluid equation to obtain a finite element discrete format; (3) singular value decomposition is performed on a stiffness matrix of the fluid equation, and a time domainand a space domain are obtained through decomposition; (4) a PGD solution is substituted into the discrete format, and discrete equations of time domain decomposition and space domain decomposition are obtained respectively; (5) an alternating-direction iteration method is used for solving to obtain the size of X and T; (6) the steps (4) and (5) are repeated, and each Xm and each Tm in the PGD solution are obtained; (7) e