Fair Value Measurements - Monte Carlo Simulation (Details)	Sep. 30, 2022	Dec. 31, 2021
Risk-free interest rate
Fair Value Measurement Inputs and Valuation Techniques
Earn out provision, measurement input	0.0424	0.0102
Risk-free interest rate | ProFrac Agreement | Convertible Debt
Fair Value Measurement Inputs and Valuation Techniques
Debt instrument, measurement input	0.0355
Risk-free interest rate | Amended ProFrac Agreement | Convertible Debt
Fair Value Measurement Inputs and Valuation Techniques
Debt instrument, measurement input	0.0395
Expected volatility
Fair Value Measurement Inputs and Valuation Techniques
Earn out provision, measurement input	1.000	0.900
Expected volatility | ProFrac Agreement | Convertible Debt
Fair Value Measurement Inputs and Valuation Techniques
Debt instrument, measurement input	1.000
Expected volatility | Amended ProFrac Agreement | Convertible Debt
Fair Value Measurement Inputs and Valuation Techniques
Debt instrument, measurement input	1.000
Term until liquidation (years)
Fair Value Measurement Inputs and Valuation Techniques
Earn out provision, measurement input	2.63	3.38
Term until liquidation (years) | ProFrac Agreement | Convertible Debt
Fair Value Measurement Inputs and Valuation Techniques
Debt instrument, measurement input	0.342
Term until liquidation (years) | Amended ProFrac Agreement | Convertible Debt
Fair Value Measurement Inputs and Valuation Techniques
Debt instrument, measurement input	0.63
Stock price
Fair Value Measurement Inputs and Valuation Techniques
Earn out provision, measurement input	1.00	1.13
Stock price | ProFrac Agreement | Convertible Debt
Fair Value Measurement Inputs and Valuation Techniques
Debt instrument, measurement input	1.00
Stock price | Amended ProFrac Agreement | Convertible Debt
Fair Value Measurement Inputs and Valuation Techniques
Debt instrument, measurement input	1.00
Discount rate
Fair Value Measurement Inputs and Valuation Techniques
Earn out provision, measurement input	0.1191	0.0671
Discount rate | ProFrac Agreement | Convertible Debt
Fair Value Measurement Inputs and Valuation Techniques
Debt instrument, measurement input	0.0355
Discount rate | Amended ProFrac Agreement | Convertible Debt
Fair Value Measurement Inputs and Valuation Techniques
Debt instrument, measurement input	0.0395