The fracture geometry determination is a topic directly related to the well productivity. Especially for infill drilled wells, the new wells during fractures initiation may cause detrimental effects on existing wells productivity. There are many efforts performed by oilfield service companies to characterize the fractures geometries using various methods: pressure monitoring during fracturing, microseismic, readings from distributed acoustic and temperature sensors, etc.
U.S. Pat. No. 10,215,014 discloses mapping of fracture geometries in a multi-well stimulation process. Method uses one treated and one or more monitoring wells. The simulated fracture geometry may provide a minimum error between the simulated pressure signal and assessed pressure signal. This process repeats for each fracture (considering the geometry parameters of previous fractures) with minimal total error. Examples of subsurface gauges: downhole gauges, fiber gauges, memory gauges. Gauges can be placed in a plug used between stages. The pressure-induced poromechanical signals may be identified using assessed pressure signals. This signals maybe identified in the pressure versus time curve and it can be used to assess one or more parameters of fracture system. In current disclosure the downhole gauges are not foreseen to make service faster and more cost effective.
U.S. Pat. No. 10,378,333 discloses systems and methods for using pressure signals to assess effectiveness of a diverter in a simulation wellbore. Method uses one treated and one or more monitoring wells. The diverter efficiency is determined taking the difference of pressure curves slope before and after diverter pumping. Decreasing pressure in the monitor well may give an indication about the diverter effectiveness. Though the main objective is not a fracture geometry determination, the method is very similar.
The current disclosure assumes different approach for data processing as based on high frequency pressure monitoring, allowing getting more information.
In patent Applications US2018258760 and US2019128112 the fracture geometry is also determined with the pressure sensors at a monitoring well. The monitoring well has a seal, which divides wellbore into two parts with pressure gauges in each part. Because of several pressure gauges are in different parts of the wellbore—this gives the geometry of the fracture. The number of gauges also can be increased (or the number of observation wells). Determination of fracture parameters is based on the solution of optimization problem. Compare to most of solutions described, the current disclosure doesn't assume sealing a parental well. Instead, there is one pressure sensor for the whole parent well. As a result, the operation time is decreased, decreasing the cost of service.
U.S. Pat. Nos. 9,900,900 and 10,436,027 suggest using one or more monitoring wells to monitor pressure change in the monitoring well while pumping at the treated well. It is foreseen pre calculating a set of pressure responses at a monitoring well for each fracture geometry and then select proper geometries matching the measured pressure response. The precalculated results are based on a coupled solution of solid mechanics equations and pressure diffusion.
The current disclosure foresees high frequency pressure monitoring. It provides an indication whether there is a direct fluid migration between two fractures independent of the pressure rise value. It also allows evaluating the character of channels causing pressure migration (multiple fractures vs one fracture/width of fracture/fractures, etc.) by analyzing the spectral density of pressure from parent and child wells. The other difference is that the pressure diffusion is not used in the models precalculated, instead, the geomechanics with effective coefficients is foreseen coupled with the hydrodynamics, describing direct fluid migration through the “channels”, caused either direct fracture connection or by means of multiple natural fractures (the phenomena different from the diffusion). The parameters of such “channels” are taken from the spectral density consideration.
Paper SPE-196221-MS “Deployment of pressure hit catalogues to optimize multi-stage hydraulic stimulation treatment” (Univ. of Alberta, 2019) describes solution of the same problem—stimulation through fracturing on a pad with several multistage wellbores (passive and active wellbores).
A passive well (offset parent well) has a pressure gauge (high resolution pressure gauges) that can monitor a change in pressure due to fracturing stimulation in the active (child) wellbore with a developing fracture. One frac operation occurs during the stimulation.
A high-pressure peak signal immediately after frac operation can be considered as fracture hit from the child well. Alternatively, the passive pressure response can be triggered by fracture stress and pressure shadowing effect. The full mechanical simulation of a set of child-parent wells is performed with fully-coupled 3D modeling providing the curves for pressure hits collected in a catalogue with four main indicators, including the high travel speed for pressure response (see FIG. 7 of the SPE paper). Different discrete fracture patterns can be modeled by the 3D hydromechanical code characterized by Fracture Complexity Index (FCI) and matched to the fracture hit scenario.
However, the simulation procedure to distinguish stress shadow (stress field) from the direct hit phenomena (both induce higher pressure in the passive well) was not defined in this study. The distinguish should be based on clear criteria for further decision-making stop pumping, change pumping strategy, etc.
A method is offered to evaluate the average geometric parameters of fractures emanating from a child well in the vicinity of a parent well with the aim of predicting and avoiding the event of fracture hit (direct fluid communication between stimulated fractures).
The method is applied on a well production pad with at least one parent well (with competed fractures) and at least one child well with a growing fracture(s). Both kinds of wells are equipped with high-rate pressure sensors suitable for digital monitoring of pressure data at the wellheads. The next stage in the method is designing a set of for stimulating (fracturing) job designs of a child well that can predict both fracture growth scenarios with and without fracture hit. The simulation is based on the input of formation data, parent well data and child well job designs coupled with a model the interaction between the parent well and the child well. This modeling gives the inputs for the stress model (3D geomechanical model) describing the stress distribution near the wells. Then the operator performs fracturing operation in the child (active) well and the high-rate pressure sensors in both wells monitor the pressure data. The actual pressure data are compared with pre-calculated pressure data from the “fracture hit catalogue” stored in the computer memory. If the matching is positive, the fracturing operation is stopped (to prevent the event of fracture hit). If the matching (within assigned accuracy limit) is negative, the operator continues performing the fracture operation until the finish of the fracture job design. This procedure allows to stop the fracturing job at the proper time and avoid the event of fracture hit between two wells (a direct fluid communication between two wells).
Creating a new fracture in subterranean formation causes fluid and rock compression in surrounding media. In the case when a parent well with existing fractures exists nearby the growing fracture, pressure increase can be observed on the parent well, if a pressure gauge is installed. This may be caused by two effects: stress shadow (poroelastic formation deformation caused by a growing fracture and as a result parent well pressure increase) and the direct fluid migration (sometimes referred as fracture hit). In
In
Regardless of pressure redistribution in the parent well, the effective volume decrease causes the pressure to increase in the parent well.
Note, the well is not equipped with seals and there is one pressure sensor for the whole parent well. From one side, this causes a smaller pressure growth as compared to a sealed case (because fluid may migrate to already existing fractures at the parent well). From the other side, it decreases operational time, costs and equipment (avoiding pressure sealing).
The direct fluid migration from a child to a parent well may be caused by direct intersection of a new, growing fracture (at a child well) with the existing fracture (at a parent well) or by means of natural fractures system.
The described method comprises three main steps: pre job run, on the job run and post job (if needed). The pre-job run assumes formation data, wellbore data, child well fracturing design parameters and parent well data. The schematic workflow is presented in
Minimal formation data includes formation temperature, lithology, Young's modulus, Poisson's ratio, reservoir pressure, permeability, porosity, minimum in-situ stress value and direction. All these parameters should be defined for a zone of interest and nearest adjacent zones to define where fracture can propagate and what barriers will constrict fracture growth. Formation data in most cases brings the most uncertainty to the whole modeling process, as it is costly to obtain precise data. DataFRAC analysis can be used as a tool to define some formation parameters.
Minimal wellbore data includes well deviation, azimuth, wellbore completion for child and offset wells. Well deviation and azimuth are precise and reliable data. Wellbore completion data can have some uncertainty. E.g. during plug&perf completion plug can fail, perforation gun can fail, not all perforations can be open and therefore not all of them taking fluid. In sliding sleeves completion some sleeves can be broken and taking fluid to a different interval.
Child well fracturing design includes the pumping strategy, materials information (data on proppant, fluid, fibers, diverting materials like Broad Band Shield, BROADBAND SEQUENCE®), and the chemical additives used in the frac operation.
Pumping fluid parameters are not precisely known before the job start as they depend on surface temperature, water composition, actual pumping concentrations, quality and physical condition of materials present on location.
These data are used as an input for simulation using a hydraulic fracture model, such as joint geomechanics and fluid hydrodynamic modeling as described in U.S. Ser. No. 16/302,424 or UFM Model (U.S. Pat. No. 8,412,500), and a parent/child interaction model. This simulation proved to show robust results at correct input parameters. However, the input parameters are determined with uncertainties. In case of multiple perforation clusters per stage the dimensions of the created fractures are strongly influenced by the rate split among the clusters of which the model prediction may have uncertainty. The output of a hydraulic fracture model at a pre-job stage is a set of possible scenarios of fracture geometry over time depending on the fluid distribution between clusters for both child and parent well fractures. The parent/child interaction model describes the stress shadow at all points of a formation for all pre-defined scenarios simulated by the fracture model. Moreover, scenarios with direct fluid migration effect on the parent well frac may be pre-computed and used for determining the probability of a direct fluid migration for each precalculated scenario.
On the job run is described in
Further matching of the rest of the scenarios with the pressure vs time is performed. If pressures records do not match at some point of time the precalculated scenarios, more scenarios are rejected, reducing the remained scenarios with their fracture geometries. Ideally, when the fluid is pumped and the fracture/fractures are developed, the set of scenarios remained should be very limited and provide very similar fracture parameters. If the number of clusters stimulated is unknown after full pumping period pressure matching, few scenarios remain with their fracture/fractures' geometry uncertainties. In worst case, the fracture/fractures is/are determined with some uncertainty. For example, width/height/length are known with tolerances for each fracture from current cluster.
The workflow can also include performing a calibration stage. During this stage stress shadow followed by a fracture hit is a desirable event. Parameters calibration for a stress shadow and a fracture hit events can be established and used for further stages to predict unwanted behavior in advance. Unwanted behavior (e.g. a fracture hit) can be avoided by changing pumping parameters: changing pumping rate, addition of a chemical diverter, changing fluid viscosity, stopping the stage and so on. The difference of this method is using high frequency pressure monitoring and on time discrimination of a direct fracture hit from a stress shadow, making conclusions about natural fractures contribution, etc. Without such evaluation, the fractures geometry prediction may be done inadequately.
The same workflow of precalculated pressure behaviors matching with the measured during stimulation is used for next stages, reducing the remained uncertainties. At the end of pumping of few stages, the inverse model as a fit scenario is determined, making known all fractures developed with reasonably small uncertainties. Moreover, using already matched data the job design may be changed on the fly (e.g., pressure rise caused by direct fluid migration, estimate of the required concentration of the diverter usage (for example, a commercial product for fluid diversion Broad Band Shield) from the parent well pressure response, more appropriate pumping rate, etc). Lastly, the current stage treatment may be stopped earlier than per design if the fracture hit occurrence has been confirmed from the measured data or its probability is high.
The post job analysis may be done for refining the parameters determined (such as frac azimuth, especially if more than one monitoring wells were used), drainage area characterization, etc.
The provided data are further used for the database of direct fluid migration with the description of all relevant parameters. This database is upgraded with every new job, making direct fluid migration prediction more and more accurate.
The parent/child interaction model contains at least three sub-models: stress shadow, direct fluid migration, and parent well response.
The stress shadow model may be described by one of geomechanical methods, for example (but not limited to) the displacement discontinuity method for formation stresses calculation based on known fracture parameters (pre-calculated with fracture model). The fracture may be divided into multiple sub-fractures with given widths/length/heights and the total formation stress is found as a sum of the stresses induced by all sub-fractures. For each sub-fracture, the zz-component of the induced stress (normal to the fracture) in the simplest homogenous formation is described as:
where
is taken within area of constant width. The typical split of a fracture into sub-fractures is shown for an elliptical fracture in
The parent well response model can be easily described as:
where Cfr—proppant pack compressibility,
Vtot=Vbh+Σall fractures Vfr is the total volume available for the fluid redistribution (wellbore volume and sum of all fractures volumes existing in a parent well). Note, the pressure response is smaller for parent wells with a large number of fractures.
The direct fluid migration model regardless its nature (i.e. natural fracs connecting parent and child well fracs or direct parent/child wells fracs connection) assumes the existence of a channel with the fluid migration from a child well frac to a parent well frac. In this case, the pressure change in the parent well is influenced by two processes: fluid migration from the child well and leak-off to the formation, so that the pressure can be described as:
where P1 is the parent well wellhead pressure, P2 is the child well pressure, P0—the reservoir pressure, Cfm is a fluid migration coefficient (which includes the channel width/length/height, pumped fluid bulk modulus, and fluid viscosity), C1 is a leak off coefficient (which includes fluid properties, formation properties, and may be time dependent), V1 is the parent well volume (including fractures volume filled with fluid), S1 is the fracture surface area, Sc is the connection area, and tpump is the total pumping time.
After pumping stops, the equilibrium is achieved in both parent and child wells and is managed by the following equations (which is result of mass conservation law for incompressible fluid in a porous medium with communicating wells):
The parameters V1, V2 are generally known, the C1, C2 are not known, but assuming the reservoir properties are the same for parent and child wells, their ratio maybe found (as effective ratio of fractures surface areas). The pressure change with time for parent and child well is very sensitive to these parameters and to Cfm and thus, they should be accurately determined from the pressure behavior. Note also, that the exponential behavior of pressure on time (which is shown from the equations above) can distinguish whether the pressure evolution is caused by the stress shadow or by the direct fluid migration (at least for significant pressure rise). It should also be noted that at some parameter's ratio (when the leak off is small or large compare to parameter Cfm) the parent well pressure may continue grow after pumping stop or it may start decreasing just after pumping stop. For the case of simplicity, one may assume that the leak off coefficients are similar for both parent and child wells and are proportional to the total fractures areas and that the fractures have comparable geometries with volumes exceeding borehole volume.
Then,
At the same time
because in child well all but one stages are isolated. The simplified system of equations:
may easily be solved and it shows:
Here 0 moment of time is a time when pumping stop, t is time since pumping stopped. For α1=α and α1—nα, where n is a number of fractures existed in parent well the pressure increases or decrease in the first moments of time after pumping depends n the sign of pressure derivative:
This value is positive if:
α[P2(0)−P1(0)]>β[P1(0)−P0]
I.e. the parent pressure rise due to inflow from a child well should exceed pressure loss due to leak-off to the formation. This works either for significance of child well pressure compare to parent well pressure or due to significant connection area between wells for depleted reservoirs.
The use of spectral density allows discriminating stress shadows from a direct fluid migration. Indeed, the stress shadow causes slow pressure growth and depends mostly on the child well fracture geometry. The direct fluid migration, if it is strong enough, should cause comparatively high frequency oscillation generation at first moment of fluid migration (or after migration has started and child well pressure changed). This should create higher spectral density at high frequencies (at least few Hz). The typical frequency spectrum response for a stress shadow and direct fluid migration effects are shown in
In
Waves of different frequencies have different attenuation depending on the fracture width and distance; thus, low spectral density indicates thin fractures, high spectral density is related to the medium/thick fractures. Coupling with the amplitude of pressure rise it allows to qualitatively discriminate both effective fractures' width and their number.
The two lower charts depict the data for the parent well (little or no change in spectral density). The two upper charts depict the data for the child well (bigger fluctuations in pressure and higher spectral density at few Hz). The frequency responses at both parent and child wells are seen simultaneously at approximately 6200 sec in
In additional to this, pressure and or vibration source generator may be installed on wellhead of offset wells. This pressure/vibration source is generating modulated signal which is reflected from most opened perforation in the well. Those perforation is taking extra fluid from growing fracture. The analysis of reflected pressure signal and applying algorithm describing in Patent Application WO 2018004369. The analysis gives the perforation, which takes most of fluid. The geometrical comparison of reflected perforation and current stage on treating well gives the azimuth of growing fracture.
The extra assurance of possible events can be applied by analysis of pressure signal on treated wells. As soon the pressure gauge registered modulated pressure signal which is generated on offset well it gives extra evidence of communication between two wells. In additional of this every offset well can generate unique pressure/vibration pattern can be easily recognized on treated wells.
In one of considered jobs the offset well pressure was matched with precalculated scenarios and was found that few stages had pressure rise due to stress shadow. It was concluded from both: relatively low-pressure rise ˜40 psi and no well-resolved high frequency waves propagation indicated in spectral density. Then, the scenarios calculated from stress shadow model were compared with the observed pressure rise. It was shown that the pressure grow of the order of 40 psi for given conditions (wellbore geometry, presence of ˜20 stimulated intervals in the offset well, large distance between wells) cannot be caused by the successful stimulation of all perf clusters in the interval, one of them could accept fluid at given stage of a child well. The very simplified description of scenarios selection shown
So, the fracture width and height relation were found from a simulation results and matching instantaneous shut in pressure, the length found from the stress shadow model matching, while the total volume of a fracture found from a total pumped volume with the leak off correction.
Modelling of Stress Surfaces
While a well is being stimulated a rock stress around it appears. An approach includes modelling of surface of stress which represents surfaces of equal stress. Particularly surface with some critical level of stress.
For several treated and several child wells these surface can form closed loops.
This application claims priority to U.S. Patent Application No. 62/950,310 filed on Dec. 19, 2019, which is herein incorporated by reference.
Filing Document | Filing Date | Country | Kind |
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PCT/US2020/065289 | 12/16/2020 | WO |
Number | Date | Country | |
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62950310 | Dec 2019 | US |