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This study proposes a straightforward field test to determine effective wellbore permeability using numerical analysis. By designing a test that estimates permeability values for the formation and caprock, we can correlate pressure response data to well permeability. The approach includes simulations that generate response curves, identifying the range of detection while considering measurement accuracy constraints. A lack of meaningful data underscores the necessity for field experiments to reduce uncertainties around CO2 leakage, highlighting the importance of understanding permeability in well integrity assessments.
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Measuring Effective Wellbore Permeability Sarah Gasda, Princeton University Michael Celia, Princeton University Jan Nordbotten, Univ. of Bergen
Objective • Propose a simple field test to determine effective (bulk) wellbore permeability • Use numerical analysis to determine the feasibility of this test • Define the range of detection given constraints on instrument accuracy
Approach • We design a test to determine well permeability. • If we can estimate permeability values for the formation and caprock, we can find well permeability from pressure response. • We do this by using simulations to generate response curves that relate pressure response to well permeability.
Existing Oil and Gas Wells End of 2004 From IPCC SRCCS, 2005
Modeling CO2 leakage • Large spatial and temporal scales • Multiple leaky wells • probabilistic framework • No data exist on wells • Need to pin down statistical distributions • Need a simple test to identify kwell in well segments
Disturbed zone, kw Experimental Design
Numerical Experiments • Standard finite-difference simulator • axi-symmetric coordinates • transient, single-phase flow • 7 permeable layers (10mD), 7 shale caprocks (0.1mD) • Fixed pressure at top and outer boundaries • Impermeable bottom boundary • Explore parameter space • Vary permeability in well (kw), caprock (k’), and lower formation (k) Fixed pressure B.C. Permeable formations Shale layers Disturbed zone, kw Intermediary caprock, k’ z Lower formation, k 0.5 m rB r
range of detection Example Numerical Results Transient data Steady-state data
k=10-2 D k= 1 D Dimensionless Results
Limits on Field Measurements • Instrument measurement accuracy • Pressure transducers rated for high P,T • ±0.1 bar (Schlumberger, UNIGAGE Quartz) • Fracture pressure • Minimum horizontal fracture stress ~17 kPa/m • Bachu et al. 2005. Underground Injection Sci. & Tech. • Maximum pressure change must be less than fracture pressure minus initial pressure • Average hydrostatic gradient ~11kPa/m • Order-of magnitude sensitivity limits • Error in ∆ptop = ±10-2MPa, ∆pbot ≤ 10 MPa
Viable range of values Estimation of Sensitivity Limits • Error in field data • ∆ptop/∆pbot = ±10-3 • Viable range of values • minimum pressure that can be measured reliably • Insensitive response regions • Slope of curve is flat • Small error in ∆ptop translates to large uncertainty in kw
Range of Detection range of detection
Alternative Test Design • Purpose • Reduce influence of lower formation permeability on pressure response • Expand range of detection • Move perforations to location within intermediary caprock • Repeat numerical experiments
k=10-2 D k= 1 D Modified Test Results
range of detection Improved Range of Detection
Conclusion • There is a lack of meaningful data available for well properties. • A simple downhole pressure test can identify effective well permeability values that are in the critical range of values. • Field experiments are needed to reduce the uncertainty associated with current estimates of CO2 leakage.