| CPC E21B 47/117 (2020.05) [E21B 43/26 (2013.01); E21B 47/06 (2013.01); E21B 49/00 (2013.01); E21B 49/008 (2013.01); G01V 1/40 (2013.01); G01V 1/48 (2013.01); G01V 20/00 (2024.01); E21B 43/267 (2013.01); G01V 1/50 (2013.01); G01V 2210/121 (2013.01); G01V 2210/123 (2013.01); G01V 2210/1234 (2013.01); G01V 2210/54 (2013.01); G01V 2210/646 (2013.01)] | 22 Claims |

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1. A method for characterizing a hydraulic fracture or network of fractures in a subsurface formation, comprising:
inducing a pressure change in a well drilled through the subsurface formation, the pressure change inducing tube waves in the well;
measuring
determining a conductivity of at least one fracture, using the measured at least one of pressure and the time derivative of pressure;
determining a change in the determined conductivity with respect to time; and
determining a fracture closure rate using the determined change in fracture conductivity with respect to time, wherein fracture closure pressures are determined by aligning pressure measurement with conductivity decrease.
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