Abstract

Hydraulic fracture dimension is one of the key parameters affecting stimulated porous media. In actual fracturing, plentiful uncertain parameters increase the difficulty of fracture dimension prediction, resulting in the difficulty in the monitoring of reservoir productivity. In this paper, we established a three-dimensional model to analyze the key factors on the stimulated reservoir volume (SRV), with the response surface method (RSM). Considering the rock properties and fracturing parameters, we established a multivariate quadratic prediction equation. Simulation results show that the interactions of injection rate (Q), Young’s modulus (E) and permeability coefficient (K), and Poisson’s ratio (μ) play a relatively significant role on SRV. The reservoir with a high Young’s modulus typically generates high pressure, leading to longer fractures and larger SRV. SRV reaches the maximum value when E1 and E2 are high. SRV is negatively correlated with K1. Moreover, maintaining a high injection rate in this layered formation with high E1 and E2, relatively low K1, and μ1 at about 0.25 would be beneficial to form a larger SRV. These results offer new perceptions on the optimization of SRV, helping to improve the productivity in hydraulic fracturing.

Highlights

  • Simulation of hydraulic fracturing contributes to the reservoir characterization and stimulation treatment [1]

  • Recent researches have expanded the complexity of hydraulic fracturing modeling and improved the mathematical model in simulation in three folds, including: (1) three-dimensional fractures developed near the wellbore [7,8,9]; (2) the interaction between a hydraulic fracture (HF) and natural fracture (NF) [10,11,12]; (3) the stimulated reservoir volume (SRV) of fractured formations [13,14,15,16]

  • In view of the above studies, the properties of both reservoir and barrier are rarely considered in the analysis of fracturing in layered formation, which can form the interactions and influence the stimulated reservoir volume

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Summary

Introduction

Simulation of hydraulic fracturing contributes to the reservoir characterization and stimulation treatment [1]. (1) three-dimensional fractures developed near the wellbore [7,8,9]; (2) the interaction between a hydraulic fracture (HF) and natural fracture (NF) [10,11,12]; (3) the stimulated reservoir volume (SRV) of fractured formations [13,14,15,16]. Multiple uncertain parameters in actual fracturing increase the difficulty of fracturing design; researches on factors affecting fracturing are studied. Reservoir geo-mechanical parameters and hydromechanical parameters affect the stimulated reservoir volume [31] and oil productivity [32]. In view of the above studies, the properties of both reservoir and barrier are rarely considered in the analysis of fracturing in layered formation, which can form the interactions and influence the stimulated reservoir volume. By employing RSM to build the response surface with geo-mechanical parameters and hydromechanical parameters and operational parameters, a quadratic response surface model was established

Methodology
Theoretical Background
Model Setup
Experimental Design
Response Surface Method
Box–Behnken Design
Fracture
Response Surface
Discussion
Effect ofon theSRV
Effect of the Young’s Modulus
Effect of the Poisson’s Ratio
Effect of thefracture
Findings
Effect of the Permeability Coefficient
Conclusions
Full Text
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