A fractal approach to low velocity non-Darcy flow in a low permeability porous medium

Cai, Jingong

doi:10.1088/1674-1056/23/4/044701

Cited by 73 publications

(39 citation statements)

References 56 publications

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“…Prada and F. Civan [17] proposed a corrected Darcy's law, which has widely been used to describe the flow in low permeability reservoirs [13][14][15][16]18]. Based on Prada and Civan's research, the production for flow through a crosssection ( Figure 2) of a flow tube can be calculated by…”

Section: Production Of a Flow Tubementioning

confidence: 99%

New prediction method for transient productivity of fractured five-spot patterns in low permeability reservoirs at high water cut stages

Cui

Zhen

et al. 2018

Open Physics

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Predicting the productivity of fractured five-spot patterns in low permeability reservoirs at high water cut stages has an important significance for the development and optimization of reservoirs. Taking the reservoir heterogeneity and uneven distribution of the remaining oil into consideration, a novel method for predicting the transient productivity of fractured five-spot patterns in low permeability reservoirs at high water cut stages is proposed by using element analysis, the flow tube integration method, and the mass conservation principle. This new method is validated by comparing with actual production data from the field and the results of a numerical simulation. Also, the effects of related parameters on transient productivity are analyzed. The results show that increasing fracture length, pressure difference and reservoir permeability correspond to an increasing productivity. The research provides theoretical support for the development and optimization of fractured five-spot patterns at the high water cut stage.

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Section: Production Of a Flow Tubementioning

confidence: 99%

New prediction method for transient productivity of fractured five-spot patterns in low permeability reservoirs at high water cut stages

Cui

Zhen

et al. 2018

Open Physics

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“…Because of the high water saturation, the low porosity and the low flow velocity in low permeability water cut tight gas reservoir, the influence of starting pressure gradient should be taken into account and the effect of slippage effect and high speed non-Darcy flow could be neglected (Cai, 2014;Cai et al, 2014).…”

Section: Introductionmentioning

confidence: 99%

The new method on gas-water two phase steady-state productivity of fractured horizontal well in tight gas reservoir

Li¹,

Liang²,

et al. 2017

Adv. Geo-Energ. Res.

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Based on a large number of tight gas exploration and development literature researches, it is found that the horizontal drilling technology and fracturing operation are usually used in the tight gas reservoir for its low permeability. Three tasks have been done in this paper. First, we described the characteristics and the flow mechanism of the tight gas reservoirs which are different from the conventional ones and gave a new definition of two phase pseudo pressure. Second, formation stress sensitivity, starting pressure gradient and the interaction of fractures are considered. Equivalent flow resistance was used to establish a model of tight gas steady flow, and a new productivity formula of fractured horizontal well in tight gas reservoir derived by the new flow model. Third, the productivity influence research has been done, which gives the influence degree of different parameters. It is signified that the productivity will increase with the addition of the permeability modulus and decrease with the increase of the water-gas volume ratio. The influence of starting pressure gradient was not very clear and the fractures parameters showed the opposite situation. Therefore optimization design of tight gas reservoir development mode can be improved by the productivity formula and research.Keywords: Tight gas, fracture, horizontal, gas-water two phase, steady-state productivity.Citation: Li, X., Liang, J., Xu, W., et al. The new method on gas-water two phase steady-state productivity of fractured horizontal well in tight gas reservoir.

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“…Because tree-shaped fractal network has a great advantage on simulation of radial flow, Tan and Li 37 embedded a treeshaped fractal network into a matrix system and researched the transient flow and pressure dynamic features in multi-porosity porous media. The mass and heat transfer in tree-shaped network have been study widely, 38 but the power-law fluids flow in treeshaped network, especially unsteady flow, need to be researched carefully. In this paper, we will try to establish the model of NPV and optimize the horizontal well economic length of horizontal well, combining the economic evaluation method and formation model with fractal character.…”

Section: Introductionmentioning

confidence: 99%

A Fractal Analysis for Net Present Value of Multi-Stage Hydraulic Fractured Horizontal Well

Zhang

Tan

et al. 2017

Fractals

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Because of the low permeability, multi-stage hydraulic fractured horizontal wells (MHFHWs) occupy a dominant position among production wells in tight gas reservoir. However, net present value (NPV) estimation method for MHFHW in tight gas reservoirs often ignores the effect of heterogeneity in microscopic pore structure. Apart from that, a new fractal model is presented for NPV of MHFHW, based on the fractal expressions of formation parameters. First, with the aid of apparent permeability model, a pseudo pressure expression considering both reservoir fractal features and slippage effect is derived, contributing to establish the productivity model. Secondly, economic assessment method is built based on the fractal productivity model, in order to obtain the NPV of MHFHW. Thirdly, the type curves are illustrated and the influences of different fractal parameters are discussed. The pore fractal dimensions D f and the capillary tortuosity fractal dimensions D T have significant effects on the NPV of an MHFHW. Finally, the proposed model in this paper provides a new methodology for analyzing and predicting the NPV of an MHFHW and may be conducive to a better understanding of the optimal design of MHFHW.

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A fractal approach to low velocity non-Darcy flow in a low permeability porous medium

Cited by 73 publications

References 56 publications

New prediction method for transient productivity of fractured five-spot patterns in low permeability reservoirs at high water cut stages

New prediction method for transient productivity of fractured five-spot patterns in low permeability reservoirs at high water cut stages

The new method on gas-water two phase steady-state productivity of fractured horizontal well in tight gas reservoir

A Fractal Analysis for Net Present Value of Multi-Stage Hydraulic Fractured Horizontal Well

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