1. A computer-implemented method for parameterizing a steady-state model of an in-situ hydrocarbon reservoir, the model having a plurality of model parameters for mapping model input to model output through a stored representation of said reservoir, the method comprising: providing a training data set comprising a plurality of input values and a plurality of target output values, wherein the training data set is representative of production operations for said reservoir; receiving a next at least one input value of the plurality of input values and a next target output value of the plurality of target output values; parameterizing the model with a predetermined algorithm using said next at least one input value and said next target output value, and one or more derivative constraints, wherein the one or more derivative constraints are imposed to constrain relationships between the at least one input value and a resulting model output value, wherein said parameterizing comprises using an optimizer to perform constrained optimization on the plurality of model parameters to satisfy an objective function subject to the derivative constraints; iteratively performing said receiving and said parameterizing using the optimizer to generate a parameterized model, wherein the model comprises a model function, wherein the one or more derivative constraints comprise upper and/or lower bounds on one or more model function derivatives, wherein one or more of the model function derivatives comprise one or more of: a first order derivative of the model function, wherein the first order derivative represents inter-well transmissibilities; a second order derivative of the model function, wherein the second order derivative of the model function represents curvature of the inter-well transmissibilities; and/or a third order derivative of the model function, wherein the third order derivative of the model function represents rate of curvature of the inter-well transmissibilities; and storing the parameterized model in a computer-accessible memory medium, wherein the parameterized model is usable to analyze operations for the reservoir for management of the production operations for the reservoir.
1. A computer-implemented method for parameterizing a steady-state model of an in-situ hydrocarbon reservoir, the model having a plurality of model parameters for mapping model input to model output through a stored representation of said reservoir, the method comprising: providing a training data set comprising a plurality of input values and a plurality of target output values, wherein the training data set is representative of production operations for said reservoir; receiving a next at least one input value of the plurality of input values and a next target output value of the plurality of target output values; parameterizing the model with a predetermined algorithm using said next at least one input value and said next target output value, and one or more derivative constraints, wherein the one or more derivative constraints are imposed to constrain relationships between the at least one input value and a resulting model output value, wherein said parameterizing comprises using an optimizer to perform constrained optimization on the plurality of model parameters to satisfy an objective function subject to the derivative constraints; iteratively performing said receiving and said parameterizing using the optimizer to generate a parameterized model, wherein the model comprises a model function, wherein the one or more derivative constraints comprise upper and/or lower bounds on one or more model function derivatives, wherein one or more of the model function derivatives comprise one or more of: a first order derivative of the model function, wherein the first order derivative represents inter-well transmissibilities; a second order derivative of the model function, wherein the second order derivative of the model function represents curvature of the inter-well transmissibilities; and/or a third order derivative of the model function, wherein the third order derivative of the model function represents rate of curvature of the inter-well transmissibilities; and storing the parameterized model in a computer-accessible memory medium, wherein the parameterized model is usable to analyze operations for the reservoir for management of the production operations for the reservoir. 5. The method of claim 1 , wherein said one or more model function derivatives further comprise: one or more fourth or higher order derivatives of the model function.