Analytical and numerical solutions on the response of pore pressure to cyclic atmospheric loading: with application to Horonobe underground research laboratory, Japan

Li, Qi; Ito, Kazumasa

doi:10.1007/s12665-011-1058-0

Cited by 8 publications

(3 citation statements)

References 36 publications

(40 reference statements)

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“…Uniform element formulation is possible for fractured rock by coupling fluid pressure and displacement (Li and Ito, 2012;Lei et al, 2014). Simulations of porous material for fractures as well as matrix were carried out using flow equation to determine flow parameters and deformation in a material (Bai et al, 1999).…”

Section: Numerical Modelling and Problem Descriptionmentioning

confidence: 99%

3D Modelling of Coal Deformation under Fluid Pressure using COMSOL Multiphysics

Kumar¹,

Mishra²,

Mishra³

2017

JESTR

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Gas transportation in coal bed is a complex physical process. The Adsorption/desorption process is associated with migration of gas in coal. Adsorption/desorption of CO 2 /CH 4 in coal bed includes diffusion of gas from coal matrix and its flow through natural fractures. Therefore, it is necessary to have a clear concept of the flow behavior of gas in coal bed for successful coal bed methane (CBM) production and carbon dioxide sequestration. Flow of gas through natural cracks results in deformation of coal bed. Injection of CO2 in enhanced coal bed methane (ECBM) depends on the permeability and fluid flow behavior.Deformation in solid coal induced by fluid pressure during CBM and ECBM process is still not clearly understood. Numerical models and Multiphysics are dominant in modelling of complex study of flow induced deformation. Such modelling is required for detailed understanding of deformation as well as flow parameters. In this study 3D model of fractured coal core was developed. The deformation in coal core at multiple injected fluid pressures was analysed. Geo-mechanical parameters (Stress, Strain, Deformation, Pore pressure and Darcy's Velocity etc.) were determined at varying injection pressures. The relations between different Geo-mechanical parameters were established using a statistical approach.

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Section: Numerical Modelling and Problem Descriptionmentioning

confidence: 99%

3D Modelling of Coal Deformation under Fluid Pressure using COMSOL Multiphysics

Kumar¹,

Mishra²,

Mishra³

2017

JESTR

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“…(Li and Jing 2013;Belkhatir et al 2013;Hou et al 2012;Li and Ito 2011). Terzaghi (1936) introduced the terminology ''differential pressure'', which is equal to confining pressure minus pore pressure.…”

Section: Introductionmentioning

confidence: 99%

Estimation of Biot’s effective stress coefficient from well logs

et al. 2015

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Effective stress governs the mechanical response of rock formations to variations in stress and pore pressure, which affect wellbore stability and reservoir integrity during drilling and production. Biot's coefficient is employed to calculate effective stresses from total stress and pore pressure. Therefore, the measurement of Biot's coefficient becomes crucial. However, the laboratory measurement of Biot's coefficient is expensive and laborious. This paper presents three methods for computing Biot's coefficient using logging data. The first method calculates Biot's coefficient using the existing empirical correlations between porosity and Biot's coefficient. The second and third methods calculate Biot's coefficient using dynamic rock and solid bulk modulus, computed using rock and solid wave velocities, respectively. However, the second and third methods calculate the necessary solid wave velocities in different ways. The second method calculates solid shear and compressive velocities (V s and V p ) using a newly developed correlation between the differential pressure, porosity and wave velocity of sandstone.The third method calculates solid wave velocities based on the significant finding that the V p /V s ratio with respect to the S-wave velocity is constant for sediments including highly compacted sand. Case studies were undertaken using logging data from the Gulf Coast Gas Wells. It was found that Biot's coefficient calculated using the first method was highly dependent on the chosen relation, while the coefficients calculated using the second and third methods were related to well logs. Results from the third method show that Biot's coefficient deflects to higher values in situations where gamma ray surveys read low API values. This is in agreement with the phenomenon that rocks with a smaller API should have lower a clay content and bigger value of Biot's coefficient. Therefore, the third method is more reliable and also requires fewer input parameters. Keywords Biot's coefficient measurement Á Well logging Á Measurement while drilling Á Effective stress Á Acoustic logging List of symbols r eff Effective stress [MPa] r total Total stress [MPa] a Biot's coefficient [-] p Pore pressure [MPa] / Rock porosity [-] K rock Rock bulk modulus [MPa] K solid Solid bulk modulus [MPa] E Young's modulus [MPa] t Poisson's ratio [-] V s Shear wave velocity [m/s] V p Compressive wave velocity [m/s] P d Differential pressure [MPa] C Clay content [-] X. Rock compressive wave velocity [m/s] V p solid Solid compressive wave velocity [m/s] V s rock Rock shear wave velocity [m/s] V s solid Solid shear wave velocity [m/s] V constant Constant wave velocity under high confining pressure [m/s] V solid Solid wave velocity [m/s]

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“…1) [13], and the detailed introduction of Horonobe URL project can be accessed in the publication, e.g. [14]. The most motivation of this study is to try to identify the hydrogeological characteristics of site sedimentary formations during the construction of the Horonobe URL with the aid of high precision surface mapping by CR-PS-InSAR technology [15].…”

Section: Introductionmentioning

confidence: 99%

PS-InSAR monitoring and finite element simulation of geomechanical and hydrogeological responses in sedimentary formations

Ito

Dong

et al. 2011

2011 IEEE International Geoscience and Remote Sensing Symposium

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With the first use of the corner reflector based permanent scatterer interferometric synthetic aperture radar (CR-PSInSAR) technology, the earth's surface deformation, strongly associated with subsurface flow, of Horonobe underground research laboratory (URL) is successfully monitored during its construction. The temporal and spatial characteristics of interferometric signatures collected from CR point targets are exploited to accurately map surface deformation histories and terrain heights of the URL site, especially around the monitoring boreholes. By developing a hydromechanical poroelastic model, satellite monitoring is linked to characterization of deep groundwater flow. The geomechanical and hydrogeological responses of sedimentary formations to the drilling of the shaft was modeled using a two-dimensional finite element model. A good correlation between measured and modeled responses indicated that both the boundary conditions and rock properties are well understood by the proposed coupled inversion methodology.

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Analytical and numerical solutions on the response of pore pressure to cyclic atmospheric loading: with application to Horonobe underground research laboratory, Japan

Cited by 8 publications

References 36 publications

3D Modelling of Coal Deformation under Fluid Pressure using COMSOL Multiphysics

3D Modelling of Coal Deformation under Fluid Pressure using COMSOL Multiphysics

Estimation of Biot’s effective stress coefficient from well logs

PS-InSAR monitoring and finite element simulation of geomechanical and hydrogeological responses in sedimentary formations

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