A semi-analytical model of multiple multi-stage fractured horizontal well interference with non-uniform simulated reservoir volume in shale gas reservoirs

The heterogeneous simulation zones will be caused by large-scale horizontal wells volume fracturing. The multiple multi-stage fractured horizontal wells interference has been observed in shale gas reservoirs. The adjacent well production and injection have obvious influence on test well wellbore pressure. The aim of this work is to establish a semi-analytical mathematical model of multiple multi-stage fractured horizontal wells interference with non-uniform simulated reservoir volume. The mathematical model is solved by coupling reservoirs and fracture and sub-zone interface model. This model solution is in agreement with numerical solution, and the calculation efficiency is higher than numerical solution. The result shows that adjacent well production leads to upturned pressure derivative curves and adjacent well injection leads to concave pressure derivative curves. Other vital parameters (such as fracture location, sub-region permeability, and width) have obvious influence on wellbore pressure and derivative curves. This can provide guides for fracturing optimization and optimal carbon dioxide injection rate.