Determining the imminent rock failure state for improving multi-stage triaxial compression tests
Methods and apparatus for evaluation of an earth formation including evaluating a core sample obtained from the formation. Methods include using a change in measurements of at least one stress parameter of the core sample, such as radial strain, axial stress, and acoustic emission counts, over time responsive to an applied stress to estimate imminent rock failure in the core sample. This may include estimating the imminent rock failure using differences between portions of a curve generated based on the measurements. A method employing calculating a rate of change between a plurality of measurements of at least one stress parameter of the core sample over time responsive to an applied stress; and determining a point of imminent failure using the rate of change in the plurality of measurements of the at least one stress parameter is also included.
1. A method for evaluating a core sample obtained from a subterranean earth formation, the method comprising:
applying a stress to a core sample obtained in the formation;
taking a plurality of measurements of at least one stress parameter of the core sample over time responsive to the applied stress;
calculating a rate of change between the plurality of measurements;
determining a point of imminent failure, wherein the core sample has substantially the same stress parameter values as at failure without occurrence of the state of failure, by:
applying a transformation to the rate of change to get a transformed rate of change; and
estimating the point of imminent failure upon the transformed rate of change reaching a threshold value;
causing applied stress to be ceased upon estimating the imminent rock failure.
2. The method of claim 1 wherein the at least one stress parameter comprises at least one of: i) radial strain with time; and ii) acoustic emission counts with time.
3. The method of claim 1 wherein the transformation comprises dividing the rate by 106.
4. The method of claim 1 comprising using the measurements to determine a Mohr-Coulomb failure envelope for the core sample.
5. The method of claim 1 comprising using the measurements to determine at least one of: i) a parameter of interest of the core sample; and ii) a parameter of interest of the formation.
6. The method of claim 1 comprising determining the threshold value of a transformed rate of change from the core sample over time responsive to an applied stress to the failure in the core sample.
7. A method for evaluating a core sample obtained from a subterranean earth formation, the method comprising:
modeling a point of imminent failure of the core sample by:
calculating a rate of change between a plurality of measurements of at least one stress parameter of the core sample over time responsive to an applied stress; and
determining the point of imminent failure using the rate of change in the plurality of measurements of the at least one stress parameter by:
applying a transformation to the rate of change to get a transformed rate of change; and
estimating the point of imminent failure upon the transformed rate of change reaching a threshold value.