Example 9 - Fracture propagation from a tunnel under internal hydraulic pressure

(1) Problem definition

A circular tunnel with four fractures in its wall in an infinite rock mass is subjected to internal hydraulic pressure of 50MPa. The in situ stresses (far-field stresses) in the rock mass are Pxx=Pyy=10MPa. The inclination of the fractures is 45°. The material properties of the rock mass and fractures are the same as in Examples 1 and 3.

The fractures are found to propagate in mode I in radial direction.

(2) Input data

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TITLE

A tunnel with four fractures subjected to internal hydraulic pressure

SYMMETRY -- Model symmetry

4 0.00 0.00

MODULUS - Poisson's Ratio and Young's modulus

0.25 0.40E+11

TOUGHNESS -- Gic and Giic

50. 1000.

PROPERIES -- mat, kn. ks,phi,coh

1 0.10E+13 0.10E+13 30.0 0.00E+00

SWINDOW -- xll,xur,yll,yur,numx,numy

-4.00 4.00 -4.00 4.00 30 30

STRESSES -- sxx,syy,sxy

-10.0E+06 -10.00E+06 0.00E+00

FRACTURE -- nume,xbeg,ybeg,xend,yend,kode,mat

3 0.700 0.700 1.000 1.000 2 1

ARCH -- nume,xcen,ycen,diam,ang1,ang2,kode,ss,sn

10 0.0 0.0 2.0 0.0 90.0 1 0.00E+00 -50.E+06

CYCL 1000

ENDFILE

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(3) FRACOD2D model