Method and system for performing and comparing financial analysis of different rail life scenarios in a rail system

1. A method for maintaining a train track, the method comprising:

modeling wear in a rail of the train track due to an estimated train traffic in order to provide maintenance recommendations for the train track by:

obtaining a train wheel profile of a train car;

providing two or more sets of maintenance parameters, each set of maintenance parameters including:

a rail profile;

grinding parameters; and

rail material properties;

wherein at least one pair of corresponding maintenance parameters in the two or more sets of maintenance parameters is different from one another;

for each of the at least two sets of maintenance parameters:

generating a contact model of an interaction between the rail profile and a wheel of a train based on the rail profile, the train wheel profile, and the estimated train traffic on the rail;

generating a wear model based on the rail material properties;

performing a wear simulation using the rail profile for a predetermined time period by:

running the contact model to produce a simulated loading on the rail, wherein the simulated loading represents a passage of the wheel of the train;

running the wear model to produce a simulated wear profile based on the simulated loading; and

generating an updated rail profile by modifying the rail profile by the simulated wear profile and a grinding profile, wherein modifying the rail profile by the grinding profile includes reducing rail material of the rail profile;

repeating the wear simulation iteratively by using, in each subsequent wear simulation, the updated rail profile generated during the previous wear simulation until a final updated rail profile exceeds a predetermined wear limit for the rail, wherein the predetermined time period of the wear simulation is one month or less, and wherein the predetermined wear limit includes a wear fail limit; and

calculating a wear time until the final rail profile exceeds the predetermined wear limit, wherein the wear time is at least one year;

comparing a cost value for each set of maintenance parameters, wherein the cost value is based on

maintenance costs associated with the corresponding set of maintenance parameters, and

an annual depreciation cost associated with the corresponding set of maintenance parameters, wherein calculating the annual depreciation cost is inversely proportional to the wear time; and

replacing at least a portion of the rail of the train track prior to the wear time elapsing.

2. The method of claim 1 , wherein:

the grinding parameters include the grinding profile, wherein the grinding profile is for a desired grinding operation performed during one or more iterations of the wear simulation.

3. The method of claim 1

further comprising, in response to comparing the cost value for each set of maintenance parameters, recommending the set of maintenance parameters having the lower cost value; and

wherein replacing at least the portion of the rail of the train track prior to the wear time elapsing is based on the recommended set of maintenance parameters.

4. The method of claim 1 , further comprising:

selecting a preferable set of the two or more sets maintenance parameters, the preferable set of maintenance parameters having the lower cost value,

repeating the method utilizing the preferable set of maintenance parameters and an additional set of maintenance parameters.

5. The method of claim 1 , where the cost value associated with each set of maintenance parameters is further based on capital costs.

6. The method of claim 1 , wherein the grinding parameters include one or more of:

a grinding frequency;

a grinding speed;

a grinding depth; or

a number of grinding passes.

7. The method of claim 6 , wherein the maintenance costs associated with each set of maintenance parameters includes train track downtime costs associated with the grinding parameters.

8. The method of claim 1 , wherein each set of maintenance parameters also includes friction modifier parameters.

9. The method of claim 8 , wherein the friction modifier parameters include one or more of:

a distance between friction modifier applicators on the train track;

a number of friction modifier applicators; or

friction modifier material properties.

10. The method of claim 8 , wherein the wear model is based on the rail material properties and/or the friction modifier material properties.

11. The method of claim 1 , wherein the contact model further includes:

a system model of the interface between the train car and the train track, wherein the interface between the train car and the train track includes at least one force acting on the train track by the entire train car; and

a wheel contact model of the interface between the wheel of the train car and the rail.

12. The method of claim 1 , wherein the at least two sets of maintenance parameters each include percentages of the train track that are:

straight track segments;

mild curved track segments; and

severe curve track segments.

13. The method of claim 1 , wherein the at least two sets of maintenance parameters each include welding parameters.

14. A method for maintaining a train track, the method comprising:

modeling wear in a rail of the train track due to an estimated train traffic in order to provide maintenance recommendations for the train track by:

obtaining a train wheel profile of a train car;

providing two or more sets of maintenance parameters, each set of maintenance parameters including:

a rail profile with a crack profile;

grinding parameters;

lubrication properties; and

rail material properties;

wherein at least one pair of correspondence maintenance parameters in the two or more sets of maintenance parameters is different from one another;

for each of the at least two sets of maintenance parameters:

generating a contact model of an interaction between the rail profile and a wheel of a train based on the rail profile, the train wheel profile, and the estimated train traffic on the rail;

generating a wear model based on the material properties and/or lubrication properties;

generating a crack growth model based on the rail profile and the crack profile, wherein

the crack growth model includes generating a finite element model based on the rail material properties, wherein the finite element model describes a grain structure of the rail of the train track and represents polycrystalline properties of the rail of the train track, and wherein generating the finite element model includes generating a random microstructure instance using a tessellation and meshing the random microstructure instance with a convex polygon,

the finite element model includes a plurality of elements corresponding to portions of the grain structure of the rail, and

each element of the plurality of elements includes one or more functions defining a behavior of the rail material properties, wherein the rail material properties include a brittleness of the rail of the train track;

performing a wear simulation using the rail profile for a predetermined time period by:

running the contact model to produce a simulated loading on the rail, wherein the simulated loading represents a passage of the wheel of the train;

running the wear model to produce a simulated wear profile based on the simulated loading;

running the crack growth model using the rail profile, the crack profile, the finite element model and the simulated loading to produce a simulated crack growth profile for the predetermined time period, wherein running the crack growth model using the finite element model includes modeling stresses in the grain structure for the predetermined time period; and

generating an updated rail profile by modifying the rail profile by the simulated wear profile and the crack growth profile;

repeating the wear simulation iteratively by using, in each subsequent wear simulation, the updated rail profile generated during the previous wear simulation until a final updated rail profile exceeds a predetermined wear limit for the rail or the updated crack profile exceeds a predetermined crack growth fail limit, wherein the predetermined time period of the wear simulation is one month or less, and wherein the predetermined wear limit includes a wear fail limit; and

calculating a rail life time until the final rail profile exceeds the predetermined wear limit or the updated crack profile exceeds a predetermined crack growth fail limit, wherein the rail life time is at least one year;

comparing a cost value for each set of maintenance parameters, the cost value based on maintenance costs associated with the corresponding set of maintenance parameters;

selecting the set of maintenance parameters with the lowest cost value; and

removing a material from the rail using a grinding machine in accordance with the selected set of maintenance parameters.

15. Then method of claim 14 , wherein the maintenance costs associated with each set of maintenance parameters include:

material costs;

grinding labor costs;

grinding downtime costs; and

lubrication costs.

16. The method of claim 14 , wherein the cost value includes capital costs, depreciation, and maintenance value, wherein depreciation accounts for cost savings associated with longer rail life time.

17. A method for maintaining a train track, the method comprising:

modeling wear in a rail of the train track due to an estimated train traffic in order to provide maintenance recommendations for the train track by:

configuring a computer-based system to predict wear in the rail of the train track and provide cost value estimates associated with at least three sets of maintenance parameters, the computer-based system comprising:

an input device operable to receive a train wheel profile and the at least three sets of maintenance parameters, each set of maintenance parameters including:

a rail profile;

grinding parameters; and

rail material properties;

wherein at least one corresponding set of maintenance parameters in the at least three sets of maintenance parameters is different from one another;

an output device operable to convey wear and cost value information relating to the rail;

memory operable to store a train wheel profile of a wheel of a train car and the at least three sets of maintenance parameters, and computer-executable instructions including wear prediction processes; and

a processor;

predicting wear in the rail for each of the at least three sets of maintenance parameters with the computer-based system according to the wear prediction processes of the computer-executable instructions, wherein the computer-executable instructions cause the processor to predict wear in the rail by:

generating a contact model of an interaction between the rail profile and a wheel of a train based on the rail profile, the train wheel profile, and the estimated train traffic on the rail;

generating a wear model based on the material properties;

performing a wear simulation using the rail profile for a predetermined time period by:

running the contact model to produce a simulated loading on the rail, wherein the simulated loading represents a passage of the wheel of the train;

running the wear model to produce a simulated wear profile based on the simulated loading, wherein the simulated wear profile represents the rail of the train track; and

generating an updated rail profile by modifying the rail profile by the simulated wear profile and a grinding profile, wherein modifying the rail profile by the grinding profile includes reducing rail material of the rail profile;

repeating the wear simulation iteratively by using, in each subsequent wear simulation, the updated rail profile generated during the previous wear simulation until a final updated rail profile exceeds a predetermined wear limit for the rail, wherein the predetermined time period of the wear simulation is one month or less, and wherein the predetermined wear limit includes a wear fail limit; and

calculating a wear time until the final rail profile exceeds the predetermined wear limit, wherein the wear time is at least one year;

calculating, via the processor, a cost value for each set of maintenance parameters, wherein the cost value is based on

maintenance costs associated with the corresponding set of maintenance parameters, wherein the maintenance costs are based on a grinding cost, and wherein the grinding cost increases inversely to a speed and a depth of a number of grinding passes on the rail of the train track, and

an annual depreciation cost associated with the corresponding set of maintenance parameters, wherein the annual depreciation cost is based on (i) a cost of replacing at least a portion of the rail of the train track upon the wear time elapsing and (ii) is inversely proportional to the wear time; and

selecting the set of maintenance parameters with a lowest cost value based on the cost value associated with the corresponding set of maintenance parameters; and

removing a material from the rail using a grinding machine according to the grinding parameters of the selected set of maintenance parameters.

18. The method of claim 17 , wherein the output device is operable to display:

one or more graphs of the cost values for each set of maintenance parameters; and

a cost savings calculation between the at least three sets of maintenance parameters.

19. The method of claim 17 , wherein each set of maintenance parameters includes friction modifier parameters, the friction modifier parameters including one or more of:

a distance between friction modifier applicators on the train track;

a number of friction modifier applicators; or

friction modifier material properties.