Abstract: Techniques for determining a hydraulic fracture dimension include identifying pressure signal values of a first fracturing fluid in a monitor wellbore that represent a pressure change in the first fracturing fluid that is induced by formation of a second hydraulic fracture from a treatment wellbore; determining a particular pressure signal value of the plurality of pressure signal values; based on the determined particular pressure signal value, determining a particular dimension of the second hydraulic fracture formed from the treatment wellbore; and determining, based at least in part on (i) the determined particular dimension, and (ii) a first pressure signal value of the plurality of pressure signal values that is less than the determined particular pressure signal value, a first intermediate dimension of the second hydraulic fracture that is less than the determined particular dimension of the second hydraulic fracture.

Abstract: Techniques for determining geometries of hydraulic fractures include identifying a data structure that includes data associated with hydraulic fracture identifiers and observed fluid pressures, at least one of the hydraulic fracture identifiers representing a first hydraulic fracture formed from a monitor wellbore into a subsurface rock formation and at least another of the hydraulic fracture identifiers representing a second hydraulic fracture formed from a treatment wellbore into the subsurface rock formation, at least one of the observed fluid pressures includes a pressure change in a fluid in the first hydraulic fracture that is induced by formation of the second hydraulic fracture; performing a single- or multi-objective, non-linear constrained optimization analysis to minimize at least one objective function associated with the observed fluid pressures; and based on minimizing the at least one objective function, determining respective sets of hydraulic fracture geometries associated with at least one o

Abstract: A wellbore system includes a first fracture formed from a wellbore at a first location; a second fracture formed from the wellbore at a second location; a wellbore seal positioned in the wellbore between the first and second locations and configured to fluidly seal a first portion from a second portion of the wellbore; a pressure gauge positioned in the first portion; a pressure gauge positioned in or uphole of the second portion; and a control system configured to communicably couple to the pressure gauges.

Abstract: Techniques for determining geometries of hydraulic fractures include identifying a data structure that includes data associated with hydraulic fracture identifiers and observed fluid pressures, at least one of the hydraulic fracture identifiers representing a first hydraulic fracture formed from a monitor wellbore into a subsurface rock formation and at least another of the hydraulic fracture identifiers representing a second hydraulic fracture formed from a treatment wellbore into the subsurface rock formation, at least one of the observed fluid pressures includes a pressure change in a fluid in the first hydraulic fracture that is induced by formation of the second hydraulic fracture; performing a single- or multi-objective, non-linear constrained optimization analysis to minimize at least one objective function associated with the observed fluid pressures; and based on minimizing the at least one objective function, determining respective sets of hydraulic fracture geometries associated with at least one o

Abstract: A wellbore system includes a first fracture formed from a wellbore at a first location; a second fracture formed from the wellbore at a second location; a wellbore seal positioned in the wellbore between the first and second locations and configured to fluidly seal a first portion from a second portion of the wellbore; a pressure gauge positioned in the first portion; a pressure gauge positioned in or uphole of the second portion; and a control system configured to communicably couple to the pressure gauges.

Abstract: Techniques for determining a hydraulic fracture dimension include identifying pressure signal values of a first fracturing fluid in a monitor wellbore that represent a pressure change in the first fracturing fluid that is induced by formation of a second hydraulic fracture from a treatment wellbore; determining a particular pressure signal value of the plurality of pressure signal values; based on the determined particular pressure signal value, determining a particular dimension of the second hydraulic fracture formed from the treatment wellbore; and determining, based at least in part on (i) the determined particular dimension, and (ii) a first pressure signal value of the plurality of pressure signal values that is less than the determined particular pressure signal value, a first intermediate dimension of the second hydraulic fracture that is less than the determined particular dimension of the second hydraulic fracture.

Abstract: A wellbore system includes a first fracture formed from a wellbore at a first location; a second fracture formed from the wellbore at a second location; a wellbore seal positioned in the wellbore between the first and second locations and configured to fluidly seal a first portion from a second portion of the wellbore; a pressure gauge positioned in the first portion; a pressure gauge positioned in or uphole of the second portion; and a control system configured to communicably couple to the pressure gauges.

Abstract: Techniques for determining a hydraulic fracture dimension include identifying pressure signal values of a first fracturing fluid in a monitor wellbore that represent a pressure change in the first fracturing fluid that is induced by formation of a second hydraulic fracture from a treatment wellbore; determining a particular pressure signal value of the plurality of pressure signal values; based on the determined particular pressure signal value, determining a particular dimension of the second hydraulic fracture formed from the treatment wellbore; and determining, based at least in part on (i) the determined particular dimension, and (ii) a first pressure signal value of the plurality of pressure signal values that is less than the determined particular pressure signal value, a first intermediate dimension of the second hydraulic fracture that is less than the determined particular dimension of the second hydraulic fracture.

Abstract: Techniques for determining a proppant-area of a hydraulic fracture include identifying a fracture fluid leak-off curve that includes time-dependent pressure signal values of a first fracturing fluid in a monitor wellbore that is in fluid communication with a first hydraulic fracture formed from the monitor wellbore. Each of the time-dependent pressure signal values is a pressure change in the first fracturing fluid induced by a second hydraulic fracture from a treatment wellbore formed by a second fracturing fluid that includes proppant.

Abstract: Techniques for determining geometries of hydraulic fractures include identifying a data structure that includes data associated with hydraulic fracture identifiers and observed fluid pressures, at least one of the hydraulic fracture identifiers representing a first hydraulic fracture formed from a monitor wellbore into a subsurface rock formation and at least another of the hydraulic fracture identifiers representing a second hydraulic fracture formed from a treatment wellbore into the subsurface rock formation, at least one of the observed fluid pressures includes a pressure change in a fluid in the first hydraulic fracture that is induced by formation of the second hydraulic fracture; performing a single- or multi-objective, non-linear constrained optimization analysis to minimize at least one objective function associated with the observed fluid pressures; and based on minimizing the at least one objective function, determining respective sets of hydraulic fracture geometries associated with at least one o

Abstract: Techniques for determining geometries of hydraulic fractures include identifying a data structure that includes data associated with hydraulic fracture identifiers and observed fluid pressures, at least one of the hydraulic fracture identifiers representing a first hydraulic fracture formed from a monitor wellbore into a subsurface rock formation and at least another of the hydraulic fracture identifiers representing a second hydraulic fracture formed from a treatment wellbore into the subsurface rock formation, at least one of the observed fluid pressures includes a pressure change in a fluid in the first hydraulic fracture that is induced by formation of the second hydraulic fracture; performing a single- or multi-objective, non-linear constrained optimization analysis to minimize at least one objective function associated with the observed fluid pressures; and based on minimizing the at least one objective function, determining respective sets of hydraulic fracture geometries associated with at least one o

Abstract: Techniques for determining a hydraulic fracture dimension include identifying pressure signal values of a first fracturing fluid in a monitor wellbore that represent a pressure change in the first fracturing fluid that is induced by formation of a second hydraulic fracture from a treatment wellbore; determining a particular pressure signal value of the plurality of pressure signal values; based on the determined particular pressure signal value, determining a particular dimension of the second hydraulic fracture formed from the treatment wellbore; and determining, based at least in part on (i) the determined particular dimension, and (ii) a first pressure signal value of the plurality of pressure signal values that is less than the determined particular pressure signal value, a first intermediate dimension of the second hydraulic fracture that is less than the determined particular dimension of the second hydraulic fracture.

Abstract: Techniques for determining a proppant-area of a hydraulic fracture include identifying a fracture fluid leak-off curve that includes time-dependent pressure signal values of a first fracturing fluid in a monitor wellbore that is in fluid communication with a first hydraulic fracture formed from the monitor wellbore. Each of the time-dependent pressure signal values is a pressure change in the first fracturing fluid induced by a second hydraulic fracture from a treatment wellbore formed by a second fracturing fluid that includes proppant.

Abstract: A wellbore system includes a first fracture formed from a wellbore at a first location; a second fracture formed from the wellbore at a second location; a wellbore seal positioned in the wellbore between the first and second locations and configured to fluidly seal a first portion from a second portion of the wellbore; a pressure gauge positioned in the first portion; a pressure gauge positioned in or uphole of the second portion; and a control system configured to communicably couple to the pressure gauges.

Abstract: Systems, methods, and software for efficiently presenting financial information in a three-dimensional landscape are described. In some aspects, observed market values for multiple sets of future financial payoffs are received. For example, the future financial payoffs can be based on derivatives contracts, bonds, or other types of financial instruments. A three-dimensional landscape of the observed market values is generated. The three-dimensional landscape includes groups of discrete graphical elements representing the sets of future financial payoffs. Each of the discrete graphical elements has a visual attribute that represents the observed market value for one of the future financial payoffs. The discrete graphical elements in each group are positioned in proximity to each other in the three-dimensional landscape to allow visual comparison of the observed market values for the set of future financial payoffs represented by the group.

Abstract: Systems, methods, and software for efficiently presenting information in a three-dimensional landscape are described. In some aspects, values for multiple series of data points are received. The data points may relate to financial instruments or business intelligence metrics. A three-dimensional landscape of the values is generated. The three-dimensional landscape includes arrays of discrete graphical elements, where each array corresponds to one of the series. Each discrete graphical element has a visual attribute that represents one of the observed market values. The elements in each array are distributed along a first dimension of the three-dimensional landscape and positioned adjacent to one another to allow visual identification of trends within each series. The arrays are spaced apart from each other in a second dimension of the three-dimensional landscape to allow visual comparison of the trends across different series.