32. A computer-based system 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 system comprising: a computer, comprising: a processor; and a memory medium coupled to the processor; an input coupled to the processor and the memory medium, wherein the input is operable to receive 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 of said reservoir; and an output coupled to the processor and the memory medium; wherein the memory medium stores program instructions which are executable by the processor to: receive 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; parameterize 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 perform 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 store the parameterized model in the memory medium, wherein the parameterized model is usable to analyze reservoir operations; and wherein the output is operable to provide the parameterized model and/or the resulting model output values to other systems or processes to manage the reservoir operations.
32. A computer-based system 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 system comprising: a computer, comprising: a processor; and a memory medium coupled to the processor; an input coupled to the processor and the memory medium, wherein the input is operable to receive 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 of said reservoir; and an output coupled to the processor and the memory medium; wherein the memory medium stores program instructions which are executable by the processor to: receive 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; parameterize 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 perform 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 store the parameterized model in the memory medium, wherein the parameterized model is usable to analyze reservoir operations; and wherein the output is operable to provide the parameterized model and/or the resulting model output values to other systems or processes to manage the reservoir operations. 43. The system of claim 32 , wherein the program instructions are operable to perform said providing, said receiving, said parameterizing, and said iteratively performing for each of a plurality of models, wherein said plurality of models compose an aggregate model of the reservoir.