Pseudo-three-dimensional numerical model and investigation of multi-cluster fracturing within a stage in a horizontal well

Yang, Zhaozhong; Liang, Yi; Li, Yong; He, Wenjun

doi:10.1016/j.petrol.2017.12.034

Cited by 41 publications

(13 citation statements)

References 13 publications

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“…A single hydraulic fracture should be a diskshaped fracture when it is not affected by vertical ground stress changes. Comparing the results of 24 from Figure 6(B), it can be found that the shape of the fracture obtained by the model in this paper is more accurate. This is because the Yang model ignores the propagation of the vertical fracture elements in the horizontal direction.…”

Section: Model Comparison and Verificationmentioning

confidence: 63%

“…The hydraulic fracturing fracture propagation model proposed in this paper is a three‐dimensional model. In order to verify the correctness of the model, the new model is compared with the three‐dimensional analytical model and numerical model . The length of the fracture and the width of fracture at bottom hole in the three‐dimensional analytical model can be calculated by the following formula:

L = 0.52 {(][, \frac{E Q^{3} t^{4}}{{()(, 1 - υ^{2})}^{2} μ})}^{1 / 9}

W = 2.17 {(][, \frac{{()(, 1 - υ^{2})}^{2} μ^{2} Q^{3} t}{E^{2}})}^{1 / 9}

…”

Section: Resultsmentioning

confidence: 99%

“…In order to verify the correctness of the model, the new model is compared with the three-dimensional analytical model 40,41 and numerical model. 24 The length of the fracture and the width of fracture at bottom hole in the three-dimensional analytical model can be calculated by the following formula:…”

Section: Model Comparison and Verificationmentioning

confidence: 99%

“…Since the analytical model cannot account for vertical in situ stress changes, the reservoir thickness is set to be greater than the fracture length and the detailed input parameters can be found in the paper by. 24 The mathematical model and the solution process established in this paper are programmed and solved, and the fracture width distribution obtained is shown in Figure 6(A). A single hydraulic fracture should be a diskshaped fracture when it is not affected by vertical ground stress changes.…”

Section: Model Comparison and Verificationmentioning

confidence: 99%

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Numerical simulation study on three‐dimensional fracture propagation of synchronous fracturing

Liu

Song³

2020

Energy Science & Engineering

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A new three‐dimensional fluid‐solid coupling fracture propagation model of synchronous fracturing was established to study the dynamic propagation process of simultaneous hydraulic fracturing. In this paper, we used an improved three‐dimensional boundary element method and a finite difference method, respectively, for calculating the deformation of the reservoir rock and the flow of the fracturing fluid during the fracturing process. The interaction between hydraulic fractures and nature fractures was also considered. Sensitivity analysis showed that during synchronous fracturing, the fractures between the wells attracted each other and injected with more fluid due to interference between the fractures. Affected by natural fractures, the trajectory of hydraulic fractures was more tortuous. Besides, the width and height of hydraulic fractures captured by natural fractures were reduced. In order to reduce the difference in length between individual fractures, smaller well spacing and larger cluster spacing should be used.

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Section: Model Comparison and Verificationmentioning

confidence: 63%

L = 0.52 {(][, \frac{E Q^{3} t^{4}}{{()(, 1 - υ^{2})}^{2} μ})}^{1 / 9}

W = 2.17 {(][, \frac{{()(, 1 - υ^{2})}^{2} μ^{2} Q^{3} t}{E^{2}})}^{1 / 9}

…”

Section: Resultsmentioning

confidence: 99%

Section: Model Comparison and Verificationmentioning

confidence: 99%

Section: Model Comparison and Verificationmentioning

confidence: 99%

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Numerical simulation study on three‐dimensional fracture propagation of synchronous fracturing

Liu

Song³

2020

Energy Science & Engineering

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“…[1][2][3] It is essential for developing tight sandstone gas reservoirs, where the porosity is generally lower than 10% and the permeability is lower than 0.1 mD. [1][2][3] It is essential for developing tight sandstone gas reservoirs, where the porosity is generally lower than 10% and the permeability is lower than 0.1 mD.…”

Section: Introductionmentioning

confidence: 99%

A comprehensive approach for fracability evaluation in naturally fractured sandstone reservoirs based on analytical hierarchy process method

Yang

et al. 2019

Energy Science & Engineering

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The tight sandstone gas reservoir in southern Songliao Basin is naturally fractured and is characterized by its low porosity and permeability. Large‐scale hydraulic fracturing is the most effective way to develop this tight gas reservoir. Quantitative evaluation of fracability is essential for optimizing a fracturing reservoir. In this study, nine fracability‐related factors, particularly mechanical brittleness, unconfined compressive strength (UCS), mineral brittleness, cohesion, internal friction angle (IFA), natural fracture, fracture toughness, horizontal stress difference, and fracture barrier were obtained based on a series of petrophysical and geomechanical experiments. Taking above factors into consideration, a modified comprehensive evaluation model is proposed based on analytic hierarchy process (AHP) method. The UCS and IFA were removed from the AHP model based on the results of factor correlation analysis. The transfer matrix in the weighting procedure was applied to improve the consistency of judgment matrix, and the fuzzy matrix was employed to promote the objectiveness of final decision. The fracability evaluation of four reservoir intervals in Jinshan gas field was analyzed. Field fracturing tests were conducted to verify the feasibility of the proposed evaluation model. Results showed that the tubing pressure curve is more fluctuated in the reservoir interval with more developed natural fractures, and gas production is higher in the reservoir interval with greater fracability coefficient. The field test data coincide with the results of the proposed evaluation model.

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Multiple Hydraulic Fractures Growth from a Highly Deviated Well

Zhou¹,

Yang²

2022

Mechanics of Hydraulic Fracturing

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Pseudo-three-dimensional numerical model and investigation of multi-cluster fracturing within a stage in a horizontal well

Cited by 41 publications

References 13 publications

Numerical simulation study on three‐dimensional fracture propagation of synchronous fracturing

Numerical simulation study on three‐dimensional fracture propagation of synchronous fracturing

A comprehensive approach for fracability evaluation in naturally fractured sandstone reservoirs based on analytical hierarchy process method

Multiple Hydraulic Fractures Growth from a Highly Deviated Well

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