2017
DOI: 10.1007/s12517-016-2823-x
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Cluster spacing optimization of multi-stage fracturing in horizontal shale gas wells based on stimulated reservoir volume evaluation

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Cited by 43 publications
(10 citation statements)
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“…To simulate the fracture propagation, first, discretize the plane for fracture propagation into discrete elements and set the initial fracture element, the initial fluid pressure p, and the simulation time step Δt; then calculate the fluid flow function in Equations ( 3)-( 4) by coupling the fluid continuity function in Equation ( 5) based on the given geological parameters to obtain the fracture width w; third, calculate the elastic function in Equation (1) using the calculated w to obtain the new fluid pressure p. Compare the new fluid pressure with the initial fluid pressure, if not converge, set the new fluid pressure as the initial fluid pressure and restart the iteration, until these two fluid pressure converge. Once one simulation time step is done and the width of fracture edge elements is obtained, it will be evaluated by the critical fracture width in Equation (7), and if the width of the fracture edge is larger than the critical fracture width, the fracture will continue propagating, then add elements opened by the fracture edge into the fracture and back to the iteration procedure to recalculate the fluid pressure and width for the new fracture. Repeat this procedure and continue increasing the fracture elements until the fracturing injection operation is completed.…”
Section: : ð2þmentioning
confidence: 99%
See 1 more Smart Citation
“…To simulate the fracture propagation, first, discretize the plane for fracture propagation into discrete elements and set the initial fracture element, the initial fluid pressure p, and the simulation time step Δt; then calculate the fluid flow function in Equations ( 3)-( 4) by coupling the fluid continuity function in Equation ( 5) based on the given geological parameters to obtain the fracture width w; third, calculate the elastic function in Equation (1) using the calculated w to obtain the new fluid pressure p. Compare the new fluid pressure with the initial fluid pressure, if not converge, set the new fluid pressure as the initial fluid pressure and restart the iteration, until these two fluid pressure converge. Once one simulation time step is done and the width of fracture edge elements is obtained, it will be evaluated by the critical fracture width in Equation (7), and if the width of the fracture edge is larger than the critical fracture width, the fracture will continue propagating, then add elements opened by the fracture edge into the fracture and back to the iteration procedure to recalculate the fluid pressure and width for the new fracture. Repeat this procedure and continue increasing the fracture elements until the fracturing injection operation is completed.…”
Section: : ð2þmentioning
confidence: 99%
“…The most representative ones are the KGD model [4] and the PKN model [5], for which the KGD model is more suitable for the case when fracture length is not much longer than the fracture height, while the PKN model is more suitable for the case when the fracture length is much longer than the fracture height [6]. On this basis, many numerical models for hydraulic fracture propagation have been gradually developed and can be summarized into three categories: boundary element model (BEM) [7], finite element model (FEM) [8], and discrete element model (DEM) [9]. Comparing the FEM and DEM, the BEM only needs to divide the simulated fracture surface, not the entire domain, which gives it a fast simulation speed and strong flexibility.…”
Section: Introductionmentioning
confidence: 99%
“…Various designs of hydraulic fracturing operations are currently implemented in practice; an example is multicluster-multistage horizontal well fracturing (e.g. [5,6]).…”
Section: Hydraulic Fracturingmentioning
confidence: 99%
“…Hydraulic fracturing technology is crucial for improving coalbed methane productivity, and it is widely used in China 1–4 . Staged multicluster fracturing (SMCF) methods have gradually become crucial for low‐permeability coalbed methane development 5–7 . In SMCF, the hydraulic fracture morphology is complex, 8 and has a stress interference.…”
Section: Introductionmentioning
confidence: 99%