Skip to main content
Log in

Experimental Investigation of Non-Darcy Flow in Sandstone

  • Original paper
  • Published:
Geotechnical and Geological Engineering Aims and scope Submit manuscript

Abstract

A study was conducted to investigate non-Darcy flow for sandstone using an experimental system designed and constructed by the research group. Non-Darcy flow was found to exist for both the pre-peak and post-peak strains; post-peak flow behavior showed a higher level of non-Darcy flow. In addition, the post peak permeability turned out to be about 2–3 times that of the pre-peak permeability. This sudden change in permeability that occurs when sedimentary rock masses around underground excavations develop new fractures may lead to water inrush in coal mines. All three non-Darcy permeability parameters showed significant changes between the pre-peak and post peak strains. The main reason for that is the formation of new cracks around and after the peak stress. Relations are developed among the three non-Darcy permeability parameters.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11

Similar content being viewed by others

References

  • Amao AM (2007) Mathematical model for Darcy Forchheimer flow with applications to well performance analysis. Doctoral dissertation, Texas Tech University

  • Cai RX, Li YY, Jiang RH (2009) Unsteady 1D exact solutions of non-Darcy flow in post-failure rock. Chin J Theor Appl Mech 41:584–587 (in Chinese)

    Google Scholar 

  • Chen ZQ (2003) Bifurcation of dynamic system of non-Darcy flow in post-failure rock. Doctoral dissertation, China University of Mining and Technology, Xuzhou (in Chinese)

  • Cheng YK, Chen ZQ, Miao XX (2004) Testing study on permeability of non-Darcy flow in post-peak sandstone. Chin J Rock Mech Eng 23:2005–2009 (in Chinese)

    Google Scholar 

  • Cornell D, Katz DL (1953) Flow of gases through consolidated porous media. Ind Eng Chem 45:2145–2152

    Article  Google Scholar 

  • Forchheimer P (1901) Wasserbewegung durch boden. Zeit Ver Deutsch Ing 45:1782–1788

    Google Scholar 

  • Huang H, Ayoub JA (2008) Applicability of the Forchheimer equation for non-Darcy flow in porous media. SPE J 13(1):112–122

    Article  Google Scholar 

  • Kong XY (1999) Advanced mechanics of fluid in porous media. Press of University of Science and Technology of China, Hefei (in Chinese)

    Google Scholar 

  • Li XG, Gao YF (2003) Influence of mining on floor infiltration coefficients. Chin J Rock Mech Eng 22:1078–1082 (in Chinese)

    Google Scholar 

  • Li TZ, Ma L, Zhang LY (2009) Stability analysis of the seepage flow water in the coal seam floor. J Min Saf Eng 26:78–81 (in Chinese)

    Google Scholar 

  • Ma D, Bai HB, Chen ZQ, Pu H (2015) Effect of particle mixture on seepage properties of crushed mudstones. Transp Porous Media 108(2):257–277

    Article  Google Scholar 

  • Miao XX, Chen ZQ, Mao XB, Chen RH (2003) The bifurcation of non-Darcy flow in post-failure rock. Acta Mech Sin 35:660–667

    Google Scholar 

  • Miao XX, Chen ZQ, Liu WQ (2004) Seepage theory of mining rock. Science Press, Beijing (in Chinese)

    Google Scholar 

  • Moutsopoulos KN, Papaspyros IN, Tsihrintzis VA (2009) Experimental investigation of inertial flow processes in porous media. J Hydrol 374:242–254

    Article  Google Scholar 

  • Nield DA, Bejan A (1992) Convection in porous media. Springer, New York

    Book  Google Scholar 

  • Qin YP, Luo W, Yang XB, Hu JF (2011) Experimental study of mechanism of non-Darcy flow in broken rocks. Procedia Eng 26:608–614

    Article  Google Scholar 

  • Sedghi-Asi M, Rahimi H, Salehi R (2014) Non-Darcy flow of water through a packed column test. Transp Porous Media 101:215–227

    Article  Google Scholar 

  • Shi LQ (2009) Summary of research on mechanism of water inrush from seam floor. J Shandong Univ Sci Technol (Natural Science) 28:17–23 (in Chinese)

    Google Scholar 

  • Sun MG, Li TZ, Huang XW, Yue JH (2005) Mechanism of water inrush based on the instability of the seepage flow in rock strata. J China Univ Min Technol 34:284–288 (in Chinese)

    Google Scholar 

  • Sun MG, Huang XW, Li TZ, Lei GY, Mao XB (2006) Seepage properties of non-Darcy flow in complete failure process of limestone. Chin J Rock Mech Eng 25:485–491 (in Chinese)

    Google Scholar 

  • Thauvin F, Mohanty KK (1998) Network modeling of non-Darcy flow through porous media. Transp Porous Media 31(1):19–37

    Article  Google Scholar 

  • Von Engelhardt W, Tunn WLM (1955) The flow of fluids through sandstones. Ill State Geol Surv 194:1–16

    Google Scholar 

  • Wang XW, Yang ZM, Sun YP, Liu XW (2011) Experimental and theoretical investigation of nonlinear flow in low permeability reservoir. Procedia Environ Sci 11:1392–1399

    Article  Google Scholar 

  • Wu YS (2002) Numerical simulation of single-phase and multiphase non-Darcy flow in porous and fractured reservoirs. Transp Porous Media 49(2):209–240

    Article  Google Scholar 

  • Zeng Z, Grigg R (2006) A criterion for non-Darcy flow in porous media. Transp Porous Media 63(1):57–69

    Article  Google Scholar 

Download references

Acknowledgments

This study was supported by the National Basic Research Program of China (973 Program: No. 2013CB227900) and Ordinary University Graduate Scientific Research Innovation Project of Jiangsu Province (No. KYLX_1368, No. CXZZ13_0924) and the National Natural Science Foundation of China (No. 11502229). The first author would like to thank the Chinese Scholarship Council for providing a scholarship to conduct a part of the described research as a Visiting Research Student at the University of Arizona. The authors would like to thank the anonymous reviewer for the critique which helped to improve the presentation of the paper.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Pinnaduwa H. S. W. Kulatilake.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ni, X., Kulatilake, P.H.S.W., Chen, Z. et al. Experimental Investigation of Non-Darcy Flow in Sandstone. Geotech Geol Eng 34, 1835–1846 (2016). https://doi.org/10.1007/s10706-016-9992-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10706-016-9992-y

Keywords

Navigation