Title: A productivity model for vertical wells with horizontal multi-fractures

Authors: Tianyu Luo; Songxia Liu; Shuai Liu

Addresses: Guangdong University of Petrochemical Technology, Kechuang Road, Gongguan Town, Maonan District, Maoming City, Guangdong Province, China ' Guangdong University of Petrochemical Technology, Kechuang Road, Gongguan Town, Maonan District, Maoming City, Guangdong Province, China; State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, 8 Xindu Road, Xindu District, Chengdu, Sichuan, China ' KAPPA Engineering, 11767 Katy Fwy # 500, Houston, Texas, USA

Abstract: Hydraulic fracturing is an important technique for reservoir stimulation. However, the productivity of vertical wells with horizontal fractures in shallow formations for quick reservoir evaluation has been under-researched. In this study, we approximate the actual flow by four regimes: 1) radial flow in far field; 2) vertical linear flow in near fracture area; 3) radial flow in near fracture area; 4) radial flow inside the fracture. Then we established an analytical productivity model for vertical wells with multiple horizontal fractures in shallow formations. For one fracture, the result deviation of our model is less than 5.3% from the classical method. For four fractures, our result is within 9% of deviation compared with CMG numerical simulation software. This model can be used to optimise parameters of horizontal fractures. [Received: November 11, 2020; Accepted: January 2, 2022]

Keywords: vertical well; horizontal fracture; productivity; analytical model; fracture optimisation.

DOI: 10.1504/IJOGCT.2022.126357

International Journal of Oil, Gas and Coal Technology, 2022 Vol.31 No.3, pp.225 - 241

Received: 10 Nov 2020
Accepted: 02 Jan 2022
Published online: 24 Oct 2022 *

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