How Far does Surface Heave Propagate? A Discussion on Analytical and Numerical Modeling of the Surface Heave Induced by Subsurface Fluid Injection

다국어 초록 (Multilingual Abstract)

Reservoir dilations occur due to variety of subsurface injection operations including waste disposal, waterflooding, steam injection,
CO₂sequestration and aquifer storage recovery. These reservoir dilations propagate to the surrounding formations and extend up to
the ground surface resulting in surface heaves. This paper discusses modeling of the surface heave by applying both analytical and
numerical methods. Results of the study demonstrate that the lateral extent of a finite element model has a direct impact on the
surface heave profile and if the lateral boundaries are too close to the line of symmetry, there will be significant errors in the finite
element results. This paper proposes a rapid way of estimating a sufficient lateral extent for the finite element model by using a new
chart. The chart contains a family of curves, which can be used to estimate the surface heave propagation distance under various
injection depths, injection periods and soil properties.

다국어 초록 (Multilingual Abstract)

Reservoir dilations occur due to variety of subsurface injection operations including waste disposal, waterflooding, steam injection,
CO₂sequestration and aquifer storage recovery. These reservoir dilations propagate to the surrounding formations and extend up to
the ground surface resulting in surface heaves. This paper discusses modeling of the surface heave by applying both analytical and
numerical methods. Results of the study demonstrate that the lateral extent of a finite element model has a direct impact on the
surface heave profile and if the lateral boundaries are too close to the line of symmetry, there will be significant errors in the finite
element results. This paper proposes a rapid way of estimating a sufficient lateral extent for the finite element model by using a new
chart. The chart contains a family of curves, which can be used to estimate the surface heave propagation distance under various
injection depths, injection periods and soil properties.

참고문헌 (Reference)

1 Nanayakkara, A. S., "Using surface deformation to infer reservoir dilation induced by injection" University of Calgary 2008

2 Gautam, R., "Transversely isotropic stiffness parameters and their measurement in Colorado Shale" 43 (43): 1290-1305, 2006

3 Wang, G., "Surface heave due to fluid and steam injection" 97-10, 1997

4 Nanayakkara, A. S., "Surface and subsurface vertical displacements and reservoir dilation induced by injection operations" 1266-1272, 2007

5 Wong, R. C. K., "Stress-strain response of Cold Lake oil sands" 30 (30): 220-235, 1993

6 Segall, P., "Stress and subsidence resulting from subsurface fluid withdrawal in the epicentral region of the 1983 Coalinga earthquake" 90 (90): 6801-6816, 1985

7 Rice, J. R., "Some basic stress diffusion solutions for fluid-saturated elastic porous media with compressible constituents" 14 (14): 227-241, 1976

8 Lambe, T. W., "Soil mechanics" John Wiley & Sons 1979

9 Brace, W. F., "Permeability of crystalline and argillaceous rocks" 17 (17): 241-251, 1980

10 Carslaw, H. S., "Conduction of heat in solids" Oxford at the Clarendon Press 1959