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Dynamic Analysis of a Fractured Vertical Well in a Triple Media Carbonate Reservoir

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Chemistry and Technology of Fuels and Oils Aims and scope

Carbonate reservoir is one of the important reservoirs in the world. Because of the characteristics of carbonate reservoir, vertical well and acid fracturing have become a key technology for efficiently developing a carbonate reservoir. Establishing corresponding mathematical models and analyzing transient pressure behaviors of this type of well-reservoir configuration can provide a better understanding of fluid flow patterns in formation as well as estimations of important parameters. A mathematical model for a fractured vertical well in triple media carbonate reservoir by conceptualizing vugs as spherical shapes is presented in this article. A semi-analytical solution is obtained in the Laplace domain by using source function theory, Laplace transformation, and the superposition principle. Analysis of transient pressure responses indicates that several characteristic flow periods of fractured vertical wells in triple media carbonate reservoir can be identified. Parametric analysis shows that the fracture length can significantly influence the transient pressure responses of fractured vertical wells in triple media carbonate reservoir. The model presented in this article can be applied to obtain important parameters pertinent to reservoir or fracture by type curve matching, and it can also provide useful information for optimizing fracture parameters.

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Abbreviations

k :

Permeability, m2

h :

Formation thickness, m

r 1 :

Radius of vug, m

L :

length of cube of matrix, m

q :

Production rate of fractured vertical well, m3/s

q f :

Rate density of the acid fracture, m3/(m·s)

q v :

Outflow volume in unit time from unit volume vug, m3/(m3s)

r w :

Radius of well, m

B:

Oil volume factor, dimensionless

μ :

Oil viscosity, Pas

C:

Wellbore storage coefficient, m3/Pa

S:

Skin factor, dimensionless

ϕ :

Porosity, dimensionless

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Acknowledgment

This work was supported by the scientific research starting project of SWPU (no. 2014QHZ031).

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Authors and Affiliations

  1. School of Sciences, Southwest Petroleum University, Chengdu, China

    Yong Wang, Donghong Tian, Chen Zhang & Tao Chen

  2. State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu, China

    Yong Wang & Guofeng Li

Authors
  1. Yong Wang
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  2. Donghong Tian
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  3. Guofeng Li
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  4. Chen Zhang
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Correspondence to Yong Wang.

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Translated from Khimiya i Tekhnologiya Topliv i Masel, No. 1, pp. 36 — 40, January — February, 2019.

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Wang, Y., Tian, D., Li, G. et al. Dynamic Analysis of a Fractured Vertical Well in a Triple Media Carbonate Reservoir. Chem Technol Fuels Oils 55, 56–65 (2019). https://doi.org/10.1007/s10553-019-01003-x

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