Tube wave analysis of well communication

An apparatus for identifying fracture geometry associated with a well fracturing operation, the apparatus comprising:

• a processing system that includes:
• a processor;
• and
• a memory, the memory including machine-readable instructions that, when executed by the processor, cause the processor to perform operations, the operations comprising:
• receiving, via one or more sensors at a first well extending into a subterranean formation, a first pressure response associated with a pressure wave generated in the first well by a fracturing operation in the first well;
• receiving, via one or more sensors at one or more offset wells extending into the subterranean formation, one or more additional pressure responses associated with the pressure wave in the one or more offset wells, the one or more additional pressure responses including at least a second pressure response associated with the pressure wave in a first offset well of the one or more offset wells;
• determining, based on the first pressure response and the one or more additional pressure responses, a presence or absence of a fracture between the first well and each of the one or more offset wells, the determining including determining the presence of the fracture between the first well and the first offset well based on the first pressure response and the second pressure response;
• determining, based on the first pressure response, the one or more additional pressure responses, and one or more distances between the first well and the one or more offset wells, a portion of a length of the fracture;
• determining one or more parameters of the first pressure response, wherein the one or more parameters of the first pressure response include at least one of:
• an arrival time of the pressure wave at the first well or an amplitude of the pressure wave at the first well;
• determining one or more parameters of the second pressure response, wherein the one or more parameters of the second pressure response include at least one of:
• an arrival time of the pressure wave at the first offset well or an amplitude of the pressure wave at the first offset well;
• determining, based on the one or more parameters of the first pressure response and the one or more parameters of the second pressure response, a first depth of an entrance point of the pressure wave from the first well to the fracture and a second depth of an exit point of the pressure wave to the first offset well from the fracture;
• generating, based on the one or more parameters of the first pressure response, the one or more parameters of the second pressure response, the first determined depth, and the second determined depth, an indication of fracture geometry associated with at least one of:
• the subterranean formation or the fracture;
• and
• outputting information associated with the fracture geometry to a user.

A non-transitory, computer-readable medium, comprising machine-readable instructions that, when executed by at least one processor, cause the at least one processor to perform operations for identifying fracture geometry associated with a well fracturing operation, the operations comprising:

• receiving, via one or more sensors at a first well extending into a subterranean formation, a pressure response associated with a pressure wave generated in the first well by a fracturing operation in the first well;
• receiving, via one or more sensors at one or more offset wells extending into the subterranean formation, one or more additional pressure responses associated with the pressure wave the one or more offset wells, the one or more additional pressure responses including at least a second pressure response associated with the pressure wave in a first offset well of the one or more offset wells;
• determining, based on the first pressure response and the one or more additional pressure responses, a presence or absence of a fracture between the first well and each of the one or more offset wells, the determining including determining the presence of the fracture between the first well and the first offset well based on the first pressure response and the second pressure response;
• determining, based on the first pressure response, the one or more additional pressure responses, and one or more distances between the first well and the one or more offset wells, a portion of a length of the fracture;
• determining one or more parameters of the first pressure response, wherein the one or more parameters of the first pressure response include at least one of:
• an arrival time of the pressure wave at the first well or an amplitude of the pressure wave at the first well;
• determining one or more parameters of the second pressure response, wherein the one or more parameters of the second pressure response include at least one of:
• an arrival time of the pressure wave at the first offset well or an amplitude of the pressure wave at the first offset well;
• determining, based on the one or more parameters of the first pressure response and the one or more parameters of the second pressure response, a first depth of an entrance point of the pressure wave from the first well to the fracture and a second depth of an exit point of the pressure wave to the first offset well from the fracture;
• generating, based on the one or more parameters of the first pressure response, the one or more parameters of the second pressure response, the first determined depth, and the second determined depth, an indication of fracture geometry associated with at least one of:
• the subterranean formation or the fracture;
• and
• outputting information associated with the fracture geometry to a user.