Application of catastrophe theory to fracability evaluation of deep shale reservoir

Zhai, Wenbao; Li, Jun; Zhou, Yingcao

doi:10.1007/s12517-019-4332-1

Cited by 7 publications

(2 citation statements)

References 21 publications

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“…Catastrophe theory, proposed by the French mathematician René Thom, combines topology, singularity theory, and structural stability theory to represent a theoretical model for analyzing sudden and discontinuous phenomena in the development of dynamic systems [27]. Catastrophe theory is widely applied in various fields of emergency research, safety, and performance evaluations, such as control of biological populations [28], evaluations of utilization of water resources [29,30], environmental risk assessments of engineering [31][32][33], evaluation of economic competitiveness [34], and research on material performance [35,36]. In addition, catastrophe theory has also been applied to safety evaluations in the field of transportation [37,38].…”

Section: Methodology 41 Catastrophe Theorymentioning

confidence: 99%

Dynamic Evaluation Method for Mutation Degree of Passenger Flow in Urban Rail Transit

Chen,

Ma,

et al. 2023

Sustainability

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When urban rail transit is affected by interference, the fluctuation pattern of passenger flow undergoes mutation, which is not conducive to its operational safety and sustainable development. The more intense the mutation in the passenger flow, the greater the impact on the network and operations. Therefore, it is necessary to measure and evaluate the mutation degree of the urban rail transit passenger flow. In this study, we clarify the definition of the mutation degree of urban rail transit passenger flow and construct an evaluation index system for the mutation degree of passenger flow from two dimensions: horizontal mutation amplitude and vertical mutation amplitude. Based on the catastrophe theory, an evaluation model of the mutation degree was constructed. Using this evaluation method, abbreviated as CDCT, the level division of the mutation degree at different time intervals under different interference scenarios can be obtained, achieving a dynamic evaluation of the mutation degree of passenger flow. Finally, taking the passenger flow data of the Suzhou rail transit as an example, the mutational fluctuation of passenger flow affected by interference is analyzed, and the evaluation results of the mutation degree of passenger flow are obtained. The analysis results show that the CDCT evaluation method can better reflect the dynamic changes in the mutation degree throughout the process under the influence of the mutational passenger flow.

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Section: Methodology 41 Catastrophe Theorymentioning

confidence: 99%

Dynamic Evaluation Method for Mutation Degree of Passenger Flow in Urban Rail Transit

Chen,

Ma,

et al. 2023

Sustainability

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“…Wu et al (2018) analyzed the influence that diagenesis and natural fractures have on reservoir fracability, proposing a comprehensive mathematical model for fracability evaluation based on a combination weight method. A multilevel subsystem was developed based on the analytic hierarchy process, and then, a catastrophe evaluation model, avoiding oversubjectiveness in defining the weighting coefficient of factors, was proposed to evaluate deep shale reservoirs' fracability (Zhai et al, 2019). Liu et al (2019) fully considered the effects of formation confining pressure and rock anisotropy on parameters, and formed the calculation method of fracability evaluation parameters.…”

Section: Introductionmentioning

confidence: 99%

Novel method and case study of a deep shale fracability evaluation based on the brittleness index

Guo

et al. 2021

Energy Exploration & Exploitation

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Deep shale has gradually become a focus point for unconventional natural gas exploration and development in China and even the world. The key to deep shale development is the fracability evaluation of a reservoir; conventional evaluation methods cannot provide accurate evaluations of deep shale fracability under high confining pressures. In this study, experimental methods are used to obtain the mechanical parameters, mineral composition, and stress–strain characteristics of shale. The fracture complexity coefficient based on the fractal dimension and fracture angle is defined by analyzing the fracture morphology of shale samples. Using the rock fracturing complexity as an index, the weight coefficients of different factors for the shale fracture morphology are obtained, thus establishing a new evaluation model for the deep shale brittleness index. The results show that the Young's modulus, dilatancy angle, and peak strain are the main factors affecting the complexity of shale fractures. The gray correlation theory is used to calculate the weights of various factors in the model. The weight coefficients of the Young's modulus, dilatancy angle, and peak strain on the rock brittleness index are 0.262, 0.353, and 0.385, respectively. Based on this, a novel method for evaluating the fracability of deep shale using the brittleness index is proposed. The fracability index of the horizontal section of the deep shale gas well in this area was calculated, and the location of the fracturing perforation cluster was optimized accordingly. This technology has been successfully applied in more than 10 deep shale gas wells in the southern Sichuan Basin, effectively reducing the fracturing pressure by 5–10 MPa, increasing the average daily production of a single well by 15.3 × 104 m3. This paper proposes a novel fracability evaluation method for deep shale based on the brittleness index, which provides a reference for optimizing deep shale fracturing design.

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Multifactor Coupled Evaluation Model of Fracability Based on a Combinatorial Weighting Method: A Case Study of the Low-Permeability Sandstone Reservoirs of Yanchang Formation, Southwestern Ordos Basin, China

Yang,

Li,

et al. 2024

Rock Mech Rock Eng

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Application of catastrophe theory to fracability evaluation of deep shale reservoir

Cited by 7 publications

References 21 publications

Dynamic Evaluation Method for Mutation Degree of Passenger Flow in Urban Rail Transit

Dynamic Evaluation Method for Mutation Degree of Passenger Flow in Urban Rail Transit

Novel method and case study of a deep shale fracability evaluation based on the brittleness index

Multifactor Coupled Evaluation Model of Fracability Based on a Combinatorial Weighting Method: A Case Study of the Low-Permeability Sandstone Reservoirs of Yanchang Formation, Southwestern Ordos Basin, China

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