eprintid: 17804 rev_number: 2 eprint_status: archive userid: 1 dir: disk0/00/01/78/04 datestamp: 2023-12-19 03:24:07 lastmod: 2023-12-19 03:24:07 status_changed: 2023-12-19 03:08:42 type: article metadata_visibility: show creators_name: Nguyen, H.T. creators_name: Lee, J.H. creators_name: Elraies, K.A. title: Pseudo-three-dimensional simulations of a vertical hydraulic fracture with time-dependent injection rates ispublished: pub keywords: Crack propagation; Crack tips; Fracture toughness, Asymptotics; Fracture model; Fracture propagation; Hydraulic fracture modeling; Injection rates; P3D model; Time dependent; Time-dependent rate; Tip asymptotic; Variable injection rate, Hydraulic fracturing note: cited By 0 abstract: This study reports a hydraulic fracture pseudo-three-dimensional model with time-dependent injection rates in elastic layered reservoirs. The adopted solution method can capture the crack tip asymptotic behaviors. The model is validated against the PKN analytical solutions of storage and leak-off-dominated regimes. The results show good agreement between the P3D model and its corresponding PKN solutions. The validated model is then employed to conduct a series of simulations to gain insight into the variable injection rates, fracture toughness, and leak-off coefficient on the fracture propagation behavior. Results show that increasing the variable injection rate reduces the lateral growth and has slight effects on the width and vertical growth. The fracture toughness considerably increases the crack width and length, whereas the leak-off coefficient has the most impact on limiting the lateral extension. © 2021 Taylor & Francis Group, LLC. date: 2022 publisher: Taylor and Francis Ltd. official_url: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85121869401&doi=10.1080%2f10916466.2021.2020818&partnerID=40&md5=bd1d983471f755de78d9d7edfbeb73bc id_number: 10.1080/10916466.2021.2020818 full_text_status: none publication: Petroleum Science and Technology volume: 40 number: 11 pagerange: 1349-1368 refereed: TRUE issn: 10916466 citation: Nguyen, H.T. and Lee, J.H. and Elraies, K.A. (2022) Pseudo-three-dimensional simulations of a vertical hydraulic fracture with time-dependent injection rates. Petroleum Science and Technology, 40 (11). pp. 1349-1368. ISSN 10916466