Systems and Methods for Operating Downhole Inflow Control Valves
AssigneeSaudi Arabian Oil Company
InventorsMohammed Dhafer Al-Ajmi, Nasser Mubarak Al-Hajri
Life of this patent
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Abstract
Provided are systems and method for operating and maintaining downhole inflow control valves (ICVs) of hydrocarbon wells, including monitoring the operations of ICVs to identify failure and non-failure times of defective and non-defective ICVs, respectively, determining a probability of failure of the ICVs (Pf) based on the failure and non-failure times, determining an operational stroking duration based on the probability of failure of the ICVs (Pf), and operating ICVs in accordance with the operational stroking duration determined.
Claims19
A method comprising:
- identifying inflow control valves (ICVs) disposed in wellbores of hydrocarbon wells and having a common set of operational characteristics, each of the ICVs of a hydrocarbon well configured to regulate the flow of production fluids from a subsurface formation into a production conduit of a wellbore of the hydrocarbon well;
- stroking each of the ICVs between an open position configured to facilitate the flow of production fluids through the ICV and a closed position configured to inhibit the flow of production fluids through the ICV;
- monitoring operation of the inflow control valves comprising:
- identifying defective ICVs comprising a first subset of the ICVs that fail to stroke properly;
- identifying non-defective ICVs comprising a second subset of the ICVs that stroke properly;
- for each of the defective ICVs, determining a failure time comprising a duration of time between a last proper stroke of the ICV and the failure of the ICV to stroke properly;
- for each of the non-defective ICVs, determining a non-failure time comprising a duration of time between last two proper strokes of the ICV;
- determining a total number of the defective ICVs (DT);
- and
- determining a total number of the non-defective ICVs (NDT);
- determining a probability of failure of the ICVs (Pf) comprising:
- determining a defective valve cumulative probability distribution function (PD(T)) defining a portion of the defective ICVs as a function of stroking duration (T) based on the failure times for the defective ICVs and the total number of the defective ICVs (DT);
- determining a non-defective valve cumulative probability distribution function (PND(T)) defining a portion of the non-defective ICVs as a function of stroking duration (T) based on the non-failure times for the non-defective ICVs and the total number of the non-defective ICVs (NDT);
- determining a reference stroking duration (tss);
- determining a failure function (F) defining an expected number of failed ICVs at stroking durations (T) less than the reference stroking duration (tss), the failure function (F) determined as follows:
- F=PD(T≤tss)×DT;
- determining a survival-failure function (SF) defining an expected number of failed ICVs at stroking durations (T) greater than the reference stroking duration (tss), the survival-failure function (SF) determined as follows:
- SF=PD(T>tss)×DT;
- determining a survival-survival function (SS) defining an expected number of non-failed ICVs survivals for stroking durations (T) greater than the reference stroking duration (tss), the survival-survival function (SS) determined as follows:
- SS=PND(T>tss)×NDT;
- and
- determining the probability of failure of the ICVs (Pf) as follows:
- P
- f
- =
- F
- F
- +
- SF
- +
- SS
- =
- P
- D
-
- (
- T
- ≤
- t
- ss
- )
- ×
- D
- T
- [
- P
- D
-
- (
- T
- ≤
- t
- ss
- )
- ×
- D
- T
- +
- P
- D
-
- (
- T
- >
- t
- ss
- )
- ×
- D
- T
- +
- P
- ND
-
- (
- T
- >
- t
- ss
- )
- ×
- ND
- T
- ]
- ;
- determining total ICV management cost (CMGT) comprising:
- determining a defective ICV cost (CD) defining a cost to repair or replace a defective ICV;
- determining an ICV maintenance cost (CM) defining a cost to maintain an ICV;
- and
- determining total ICV management cost (CMGT) defining a cost for operating an ICV as a function of stroking duration, total ICV management cost (CMGT) determined as follows:
- C
- MGT
- =
- [
- C
- LR
- ×
- P
- f
-
- (
- T
- ≤
- t
- ss
- )
- +
- C
- PM
- ×
- R
-
- (
- T
- ≤
- t
- ss
- )
- ]
- ×
- Z
- t
- ss
- where R(T≤tss)=1−Pf (T≤tss) and Z is a time unit conversion factor;
- determining an operational stroking duration comprising a stroking duration that corresponds to a minimum of the total ICV management cost (CMGT);
- and
- in response to determining the operational stroking duration, for one or more ICVs having the common set of operational characteristics:
- stroking the ICV at a first time;
- and
- stroking the ICV at a second time, wherein the duration between the first time and the second time is less than or equal to the operational stroking duration.
A hydrocarbon well system comprising:
- inflow control valves (ICVs) disposed in wellbores of hydrocarbon wells and having a common set of operational characteristics, each of the ICVs of a hydrocarbon well configured to regulate the flow of production fluids from a subsurface formation into a production conduit of a wellbore of the hydrocarbon well;
- a hydrocarbon well monitoring and control system configured to perform the following operations:
- stroking each of the ICVs between an open position configured to facilitate the flow of production fluids through the ICV and a closed position configured to inhibit the flow of production fluids through the ICV;
- monitoring operation of the inflow control valves comprising:
- identifying defective ICVs comprising a first subset of the ICVs that fail to stroke properly;
- identifying non-defective ICVs comprising a second subset of the ICVs that stroke properly;
- for each of the defective ICVs, determining a failure time comprising a duration of time between a last proper stroke of the ICV and the failure of the ICV to stroke properly;
- for each of the non-defective ICVs, determining a non-failure time comprising a duration of time between last two proper strokes of the ICV;
- determining a total number of the defective ICVs (DT);
- and
- determining a total number of the non-defective ICVs (NDT);
- determining a probability of failure of the ICVs (Pf) comprising:
- determining a defective valve cumulative probability distribution function (PD(T)) defining a portion of the defective ICVs as a function of stroking duration (T) based on the failure times for the defective ICVs and the total number of the defective ICVs (DT);
- determining a non-defective valve cumulative probability distribution function (PND(T)) defining a portion of the non-defective ICVs as a function of stroking duration (T) based on the non-failure times for the non-defective ICVs and the total number of the non-defective ICVs (NDT);
- determining a reference stroking duration (tss);
- determining a failure function (F) defining an expected number of failed ICVs at stroking durations (T) less than the reference stroking duration (tss), the failure function (F) determined as follows:
- F=PD(T≤tss)×DT;
- determining a survival-failure function (SF) defining an expected number of failed ICVs at stroking durations (T) greater than the reference stroking duration (tss), the survival-failure function (SF) determined as follows:
- SF=PD(T>tss)×DT;
- determining a survival-survival function (SS) defining an expected number of non-failed ICVs survivals for stroking durations (T) greater than the reference stroking duration (tss), the survival-survival function (SS) determined as follows:
- SS=PND(T>tss)×NDT;
- and
- determining the probability of failure of the ICVs (Pf) as follows:
- P
- f
- =
- F
- F
- +
- SF
- +
- SS
- =
- P
- D
-
- (
- T
- ≤
- t
- ss
- )
- ×
- D
- T
- [
- P
- D
-
- (
- T
- ≤
- t
- ss
- )
- ×
- D
- T
- +
- P
- D
-
- (
- T
- >
- t
- ss
- )
- ×
- D
- T
- +
- P
- ND
-
- (
- T
- >
- t
- ss
- )
- ×
- ND
- T
- ]
- ;
- determining total ICV management cost (CMGT) comprising:
- determining a defective ICV cost (CD) defining a cost to repair or replace a defective ICV;
- determining an ICV maintenance cost (CM) defining a cost to maintain an ICV;
- and
- determining total ICV management cost (CMGT) defining a cost for operating an ICV as a function of stroking duration, total ICV management cost (CMGT) determined as follows:
- C
- MGT
- =
- [
- C
- LR
- ×
- P
- f
-
- (
- T
- ≤
- t
- ss
- )
- +
- C
- PM
- ×
- R
-
- (
- T
- ≤
- t
- ss
- )
- ]
- ×
- Z
- t
- ss
- where R(T≤tss)=1−Pf(T≤tss) and Z is a time unit conversion factor;
- determining an operational stroking duration comprising a stroking duration that corresponds to a minimum of the total ICV management cost (CMGT);
- and
- in response to determining the operational stroking duration, for one or more ICVs having the common set of operational characteristics:
- stroking the ICV at a first time;
- and
- stroking the ICV at a second time, wherein the duration between the first time and the second time is less than or equal to the operational stroking duration.
A non-transitory computer readable medium comprising program instructions stored thereon that are executable by a processor to cause the following operations:
- identifying inflow control valves (ICVs) disposed in wellbores of hydrocarbon wells and having a common set of operational characteristics, each of the ICVs of a hydrocarbon well configured to regulate the flow of production fluids from a subsurface formation into a production conduit of a wellbore of the hydrocarbon well;
- stroking each of the ICVs between an open position configured to facilitate the flow of production fluids through the ICV and a closed position configured to inhibit the flow of production fluids through the ICV;
- monitoring operation of the inflow control valves comprising:
- identifying defective ICVs comprising a first subset of the ICVs that fail to stroke properly;
- identifying non-defective ICVs comprising a second subset of the ICVs that stroke properly;
- for each of the defective ICVs, determining a failure time comprising a duration of time between a last proper stroke of the ICV and the failure of the ICV to stroke properly;
- for each of the non-defective ICVs, determining a non-failure time comprising a duration of time between last two proper strokes of the ICV;
- determining a total number of the defective ICVs (DT);
- and
- determining a total number of the non-defective ICVs (NDT);
- determining a probability of failure of the ICVs (Pf) comprising:
- determining a defective valve cumulative probability distribution function (PD(T)) defining a portion of the defective ICVs as a function of stroking duration (T) based on the failure times for the defective ICVs and the total number of the defective ICVs (DT);
- determining a non-defective valve cumulative probability distribution function (PND(T)) defining a portion of the non-defective ICVs as a function of stroking duration (T) based on the non-failure times for the non-defective ICVs and the total number of the non-defective ICVs (NDT);
- determining a reference stroking duration (tss);
- determining a failure function (F) defining an expected number of failed ICVs at stroking durations (T) less than the reference stroking duration (tss), the failure function (F) determined as follows:
- F=PD(T≤tss)×DT;
- determining a survival-failure function (SF) defining an expected number of failed ICVs at stroking durations (T) greater than the reference stroking duration (tss), the survival-failure function (SF) determined as follows:
- SF=PD(T>tss)×DT;
- determining a survival-survival function (SS) defining an expected number of non-failed ICVs survivals for stroking durations (T) greater than the reference stroking duration (tss), the survival-survival function (SS) determined as follows:
- SS=PND(T>tss)×NDT;
- and
- determining the probability of failure of the ICVs (Pf) as follows:
- P
- f
- =
- F
- F
- +
- SF
- +
- SS
- =
- P
- D
-
- (
- T
- ≤
- t
- ss
- )
- ×
- D
- T
- [
- P
- D
-
- (
- T
- ≤
- t
- ss
- )
- ×
- D
- T
- +
- P
- D
-
- (
- T
- >
- t
- ss
- )
- ×
- D
- T
- +
- P
- ND
-
- (
- T
- >
- t
- ss
- )
- ×
- ND
- T
- ]
- ;
- determining total ICV management cost (CMGT) comprising:
- determining a defective ICV cost (CD) defining a cost to repair or replace a defective ICV;
- determining an ICV maintenance cost (CM) defining a cost to maintain an ICV;
- and
- determining total ICV management cost (CMGT) defining a cost for operating an ICV as a function of stroking duration, total ICV management cost (CHO determined as follows:
- C
- MGT
- =
- [
- C
- LR
- ×
- P
- f
-
- (
- T
- ≤
- t
- ss
- )
- +
- C
- PM
- ×
- R
-
- (
- T
- ≤
- t
- ss
- )
- ]
- ×
- Z
- t
- ss
- where R(T≤tss)=1−Pf(T≤tss) and Z is a time unit conversion factor;
- determining an operational stroking duration comprising a stroking duration that corresponds to a minimum of the total ICV management cost (CMGT);
- and
- in response to determining the operational stroking duration, for one or more ICVs having the common set of operational characteristics:
- stroking the ICV at a first time;
- and
- stroking the ICV at a second time, wherein the duration between the first time and the second time is less than or equal to the operational stroking duration.
A method comprising:
- identifying inflow control valves (ICVs) disposed in wellbores of hydrocarbon wells and having a common set of characteristics;
- stroking each of the ICVs between an open position configured to facilitate the flow of production fluids through the ICV and a closed position configured to inhibit the flow of production fluids through the ICV;
- monitoring operation of the inflow control valves comprising:
- identifying defective ICVs comprising a first subset of the ICVs that fail to stroke properly;
- identifying non-defective ICVs comprising a second subset of the ICVs that stroke properly;
- for each of the defective ICVs, determining a failure time comprising a duration of time between a last proper stroke of the ICV and the failure of the ICV to stroke properly;
- for each of the non-defective ICVs, determining a non-failure time comprising a duration of time between the last two proper strokes of the ICV;
- determining a total number of the defective ICVs (DT);
- and
- determining a total number of the non-defective ICVs (NDT);
- determining a probability of failure of the ICVs (Pf) comprising:
- determining a defective valve cumulative probability distribution function (PD(T)) defining a portion of the defective ICVs as a function of stroking duration (T) based on the failure times for the defective ICVs and the total number of the defective ICVs (DT);
- determining a non-defective valve cumulative probability distribution function (PND(T)) defining a portion of the non-defective ICVs as a function of stroking duration (T) based on the non-failure times for the non-defective ICVs and the total number of the non-defective ICVs (NDT);
- determining a reference stroking duration (tss);
- determining a failure function (F) defining an expected number of failed ICVs at stroking durations (T) less than the reference stroking duration (tss);
- determining a survival-failure function (SF) defining an expected number of failed ICVs at stroking durations (T) greater than the reference stroking duration (tss);
- determining a survival-survival function (SS) defining an expected number of non-failed ICVs survivals for stroking durations (T) greater than the reference stroking duration (tss);
- and
- determining the probability of failure of the ICVs (Pf) based on the failure function (F), the survival failure function (SF) and the survival-survival function (SS);
- determining an operational stroking duration based on the probability of failure of the ICVs (Pf);
- and
- in response to determining the operational stroking duration, for one or more ICVs having the common set of operational characteristics:
- stroking the ICV at a first time;
- and
- stroking the ICV at a second time, wherein the duration between the first time and the second time is less than or equal to the operational stroking duration.
Dependencies are inferred from the claim text.