Optimizing well placement to maximize exposed hydraulic fracture area in geothermal wells

A method of designing a geothermal energy production system, comprising:

• (i) determining a fracture area of an injection well by inputting a first wellbore geometry for the injection well, a set of geomechanical data for a subterranean formation, a first fracturing operation, or combinations thereof into a fracture model, wherein the first wellbore geometry comprises i) a sinusoidal path in a horizontal plane, ii) a sinusoidal path in a vertical plane, or iii) a helical path along a wellbore axis;
• (ii) determining a production area of a production well by inputting a second wellbore geometry for the production well, a second fracturing operation, or combinations thereof into the fracture model;
• (iii) determining a conductive fracture flowrate through the fracture area of the first wellbore geometry to the production area of the second wellbore geometry by inputting an injection fluid flowrate and pressure into a production model;
• determining an economic value of a production fluid from the production well;
• iteratively returning to the fracturing model to adjust the first wellbore geometry, the first fracturing operation, or both in response to the economic value of the production fluid being lower than a threshold value;
• and
• outputting an injection wellbore geometry, a production wellbore geometry, a first working fracturing operation, a second working fracturing operation, or combinations thereof, in response to the economic value being higher than a threshold value.