The Mathematical Model of the Rehabilitation of The Water Pipes Network ( Condition Index ) by

1. The Mathematical Model of the Rehabilitation of The Water Pipes Network (Condition Index) by Mohamed Asheesh Mohmaed.asheesh@oamk.fi Finland Asheesh

2. The Mathematical Model of the Rehabilitation of the Water Pipe Network(The Condition Index) • The condition of the water pipe network can be evaluated by different ways: • the mathematical model, the condition index is based on the probability, availability, reliability of the system, and the break frequency of the pipeline. Understanding the theory of damagebility. • The cost analysis method • The risk analysis method • The classification method Asheesh

3. The Condition Index of the Water Pipe Network Asheesh

4. The Data Base • pipe record number • street name • pipe segment origin and destination node • pipe diameter • pipe length • number of hydrants • year in which pipe was placed • pipe material • month and year in which pipe broke • type of break • break location Asheesh

5. The Condition index 5 Asheesh Asheesh con

6. Condition IndexIn which: • Kp =Pipe Condition Index (material, age, durability, strength ). • KS =Joint Condition Index (age,durability, strength, type ) • KV =Valve Condition Index • KC =Condition Situation • UL =External Factors • Cu =Classification of the External Factors Asheesh Asheesh con

7. The Contents of the Condition index 7 Asheesh Asheesh con

8. The Mathematical Model of the Condition Index KI=a{[(Pk+Pi)/(P0)][Kp+Ks+kv+kc] + C.UL} in which: a = scaling coefficient Pk=(100-700)kpa/cm2 P0= planned pressure Pi = a Pi stroke pressure Kp=C1C2 hae l(t-k) ks=Cse lt Kv=Cve lt Kc=(CT,FM, L * ).C C.UL Asheesh

9. Pk=(100-700)kpa/cm2 P0= planned pressure Pi = a Pi stroke pressure Asheesh

10. Asheesh

11. The Condition Index • Kp=C1p C2 pp e(t-k) • KS=sCses(t-k) • Kv=vev(t-k) • Kc = c {Sr (RT+TM+V)} Asheesh

12. PIPE CONDITION INDEX Kp=C1p C2 pp e(t-k) Asheesh Asheesh con

13. C1p=Break frequency for a determined material with (no,one or more ) previous breaks/Overall break frequency for the same material C2p=Break frequency for a determined material with diameter x / Overall break frequency for the same material with the same diameter Asheesh

14. BREAK FREQUENCY 3 2 1 Asheesh

15. JOINT CONDITION INDEX • KS=sCses(t-k) • s=joint number(1kpl/6m) divided by length multiplied by joint break frequency in which the materials were considerd • Cs =pipe length • s =damage expansion parametre, depends on material and conditions • t =time • k =installation year Asheesh

16. VALVE CONDITION • Kv = vev(t-k) • v = damage frequency(Mays 1986) (depends on valve type) • v = damage expansion parameter, depends on valve break frequency (valve number/valve break frequency in which the pressure was) • t = time • k =installation year Asheesh

17. EXTERNAL FACTORS Asheesh

18. The Purpose of The Condition Index Purpose: • Controlling the capability of the water pipe network • Investigating the water pipe net work • Integrating the rehabilitation methods and the future water network plans • Finding a proper way to rehabilitate by determining the condition of the pipes and the location of the area. Asheesh

19. THANK YOU THAT IS ALL BYE Asheesh